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"/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-10_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-agriculture-and-medical-question-paper-final-key10-aug-2021-forenoonenglish-urdu-90211", + "license": "unknown", + "level": "high school", + "category_en": "physics", + "category_original_lang": "\u0637\u0628\u06cc\u0639\u06cc\u0627\u062a", + "original_question_num": "102", + "question": "[use \u03b5\u2080 = 9\u00d710\u207b\u00b9\u00b2 in S.I. unit]", + "options": [ + "1. \\( r^{-3} \\)", + "2. \\( r^{-2} \\)", + "3. \\( r^{-2} \\)", + "4. \\( r^{-3/2} \\)" + ], + "answer": "3" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-10_aug2021_an_e_u.pdf", + "source": 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+ \\cos 4x + \\cos 2x = -1\\) \u06a9\u06d2 \u062d\u0644 \u06a9\u06cc \u062a\u0639\u062f\u0627\u062f \\([0, \\pi]\\) \u0645\u06cc\u06ba", + "options": [ + "4", + "3", + "6", + "5" + ], + "answer": "4" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "27", + "question": "\\(\\sin A = \\frac{1}{a+b} + \\frac{1}{c+a} = \\frac{3}{a+b+c}\\), \\(\\Delta ABC\\) \u0645\u06cc\u06ba \u0627\u06af\u0631 \\(\\frac{1}{a+b} + \\frac{1}{c+a} = \\frac{3}{a+b+c}\\) \u062a\u0648 \\(\\sin A =\\)", + "options": [ + "\\(1\\)", + "\\(\\frac{1}{2}\\)", + 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\u062f\u0631\u0645\u06cc\u0627\u0646 \u06a9\u0645 \u0641\u0627\u0635\u0644\u06c1 \u06c1\u06d2", + "options": [ + "\\(\\vec{b} \\times \\vec{d}\\) \u0648\u06cc\u06a9\u0679\u0631 \u06a9\u06cc \u0645\u0642\u062f\u0627\u0631", + "\\(\\vec{b}\\) \u06a9\u0627 \\(\\vec{d}\\) \u067e\u0631 \u0639\u0645\u0648\u062f\u06cc \u067e\u0631\u0648\u062c\u06cc\u06a9\u0634\u0646 \u0627\u0648\u0631 \\(\\vec{d}\\) \u06a9\u0627 \\(\\vec{b}\\) \u067e\u0631 \u067e\u0631\u0648\u062c\u06cc\u06a9\u0634\u0646 \u06a9\u0627 \u062c\u0645\u0644\u06c1", + "\\((\\vec{b} \\times \\vec{d})\\) \u067e\u0631 \\((\\vec{a} - \\vec{c})\\) \u06a9\u0627 \u0639\u0645\u0648\u062f\u06cc \u067e\u0631\u0648\u062c\u06cc\u06a9\u0634\u0646", + "\\((\\vec{a} \\times \\vec{c})\\) \u067e\u0631 \\((\\vec{b} - \\vec{d})\\) \u06a9\u0627 \u0639\u0645\u0648\u062f\u06cc \u067e\u0631\u0648\u062c\u06cc\u06a9\u0634\u0646" + ], + "answer": "4" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "38", + "question": "\u062c\u0628 \u0627\u06cc\u06a9 \u067e\u0627\u0633\u0627 42 \u0645\u0631\u062a\u0628\u06c1 \u067e\u06be\u06cc\u0646\u06a9\u0627 \u06af\u06cc\u0627 \u062a\u0648 \u06cc\u06c1 \u0627\u0633 \u0637\u0631\u062d \u06c1\u0648\u0627 \u06a9\u06c1 \u0627\u06cc\u06a9 \u0631\u062e \u062c\u0633 \u067e\u0631 \u06c1\u0646\u062f\u0633\u06c1 i \u06c1\u06d2 2i \u0645\u0631\u062a\u0628\u06c1 \u0648\u0627\u0642\u0639 \u06c1\u0648\u0627\u06d4 \u0627\u0633 \u0645\u062c\u0631\u062f \u0641\u0631\u06cc\u06a9\u0648\u0626\u0646\u0633\u06cc \u062a\u0642\u0633\u06cc\u0645 \u06a9\u06cc \u0627\u0648\u0633\u0637 \u0633\u06d2 \u0627\u0648\u0633\u0637 \u0627\u0646\u062d\u0631\u0627\u0641 \u06c1\u06d2", + "options": [ + "\\(\\frac{80}{63}\\)", + "\\(\\frac{32}{3}\\)", + "\\(\\frac{72}{41}\\)", + "\\(\\frac{15}{4}\\)" + ], + "answer": "1" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "39", + "question": "\u0641\u0631\u0636 \u06a9\u0631\u06cc\u06ba S \u06a9\u0633\u06cc \u0628\u06d2 \u062a\u0631\u062a\u06cc\u0628 \u062a\u062c\u0631\u0628\u06d2 \u06a9\u0627 \u0646\u0645\u0648\u0646\u06c1 \u062c\u06af\u06c1 \u06c1\u06d2\u060c \u0627\u0648\u0631 P \u0627\u06cc\u06a9 \u0627\u062d\u062a\u0645\u0627\u0644 \u0641\u0646\u06a9\u0634\u0646 \u06c1\u06d2 \u062c\u0648 S \u06a9\u06d2 \u067e\u0627\u0648\u0631 \u0633\u06cc\u0679 \u067e\u0631 \u0648\u0636\u0627\u062d\u062a \u06a9\u06cc \u06af\u0626\u06cc \u06c1\u06d2\u06d4 \u0628\u06d2 \u062a\u0631\u062a\u06cc\u0628 \u062a\u062c\u0631\u0628\u06d2 \u06a9\u06d2 \u062f\u0648 \u0648\u0627\u0642\u0639\u0627\u062a A \u0627\u0648\u0631 B \u0622\u0632\u0627\u062f \u06a9\u06c1\u0644\u0627\u0626\u06d2 \u062c\u0627\u0626\u06cc\u06ba \u06af\u06d2 \u0627\u06af\u0631", + "options": [ + "\\(P(A \\cap B^c) = P(A) \\cdot P(B)\\)", + "\\(P(A^c \\cap B) = P(A) \\cdot P(B)\\)", + "\\(P(A^c \\cap B^c) = (1 - P(A))(1 - P(B))\\)", + "\\(P(A \\cap B) = P(A) \\cdot P(B^c)\\)" + ], + "answer": "3" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "40", + "question": "\u0628\u0686\u0648\u06ba \u06a9\u06d2 \u062a\u06cc\u0646 \u06af\u0631\u0648\u067e A\u060c B\u060c \u0627\u0648\u0631 C \u0644\u0691\u06a9\u0648\u06ba \u0627\u0648\u0631 \u0644\u0691\u06a9\u06cc\u0648\u06ba \u067e\u0631 \u0645\u0634\u062a\u0645\u0644 \u06c1\u06d2 \u062c\u06cc\u0633\u0627 \u06a9\u06c1 \u0646\u06cc\u0686\u06d2 \u062f\u06cc\u0627 \u06af\u06cc\u0627 \u06c1\u06d2\u06d4 \u06af\u0631\u0648\u067e A \u0645\u06cc\u06ba 3 \u0644\u0691\u06a9\u06cc\u0627\u06ba \u0627\u0648\u0631 \u0627\u06cc\u06a9 \u0644\u0691\u06a9\u0627 \u06c1\u06d2\u060c \u06af\u0631\u0648\u067e B \u0645\u06cc\u06ba 2 \u0644\u0691\u06a9\u06cc\u0627\u06ba \u0627\u0648\u0631 2 \u0644\u0691\u06a9\u06d2 \u06c1\u06cc\u06ba \u0627\u0648\u0631 \u06af\u0631\u0648\u067e C \u0645\u06cc\u06ba 3 \u0644\u0691\u06a9\u06d2 \u0627\u0648\u0631 1 \u0644\u0691\u06a9\u06cc \u06c1\u06d2\u06d4 \u06c1\u0631 \u06af\u0631\u0648\u067e \u0633\u06d2 \u0627\u06cc\u06a9 \u0628\u0686\u06d2 \u06a9\u0648 \u0628\u06d2 \u062a\u0631\u062a\u06cc\u0628 \u0645\u0646\u062a\u062e\u0628 \u06a9\u0631\u0646\u06d2 \u067e\u0631 \u062a\u06cc\u0646\u0648\u06ba \u0628\u0686\u0648\u06ba \u0645\u06cc\u06ba \u0633\u06d2 1 \u0644\u0691\u06a9\u06cc \u0627\u0648\u0631 2 \u0644\u0691\u06a9\u06d2 \u06c1\u0648\u0646\u06d2 \u06a9\u0627 \u0627\u0645\u06a9\u0627\u0646 \u06c1\u06d2\u06d4", + "options": [ + "\\(\\frac{9}{32}\\)", + "\\(\\frac{3}{32}\\)", + "\\(\\frac{13}{32}\\)", + "\\(\\frac{19}{32}\\)" + ], + "answer": "3" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "41", + "question": "\\(P(A^c) + P(B^c) =\\) \u0627\u0648\u0631 \\(P(A \\cap B) = 0.3\\) \u060c \\(P(A \\cup B) = 0.8\\) \u0627\u06af\u0631", + "options": [ + "1. 0.3", + "2. 0.5", + "3. 0.7", + "4. 0.9" + ], + "answer": "4" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "42", + "question": "\\(P(0 < x < 4) =\\) \u062a\u0628", + "options": [ + "1. \\(\\frac{4}{5}\\)", + "2. \\(\\frac{3}{5}\\)", + "3. \\(\\frac{1}{2}\\)", + "4. \\(\\frac{1}{4}\\)" + ], + "answer": "3" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "43", + "question": "\u0627\u06cc\u06a9 \u067e\u0648\u0627\u0633\u0646 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u06ba\u060c \u0627\u06af\u0631 \\(P(X=2)\\) \u062f\u0648\u06af\u0646\u0627 \u06c1\u06d2 \\(P(X=1)\\) \u06a9\u06d2\u060c \u062a\u0628 \u062a\u0642\u0633\u06cc\u0645 \u06a9\u0627 \u0645\u0639\u06cc\u0627\u0631\u06cc \u0627\u0646\u062d\u0631\u0627\u0641 \u06c1\u06d2", + "options": [ + "1. 1", + "2. 2", + "3. 4", + "4. 8" + ], + "answer": "2" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "44", + "question": "\u0627\u06af\u0631 A(2,3)\u060c B(3,-2) \u062f\u0648 \u0645\u0642\u0631\u0631\u06c1 \u0646\u0642\u0627\u0637 \u06c1\u06cc\u06ba \u0627\u0648\u0631 P(x,y) \u0627\u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0646\u0642\u0637\u06c1 \u06c1\u06d2 \u062c\u0648 \u0634\u0631\u0637 |PA - PB| = 2 \u06a9\u0648 \u067e\u0648\u0631\u0627 \u06a9\u0631 \u0631\u06c1\u0627 \u06c1\u06d2\u060c \u062a\u0628 P \u06a9\u0627 \u0644\u0648\u06a9\u0633 \u06c1\u06d2", + "options": [ + "1. \\((x + y + 1)^2 = 4[(x - 3)^2 + (y + 2)^2]\\)", + "2. \\((x - 5y - 2)^2 = 4[(x - 2)^2 + (y - 3)^2]\\)", + "3. \\((x - 5y - 2)^2 = 4[(x - 3)^2 + (y + 2)^2]\\)", + "4." + ], + "answer": "3" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "44", + "question": "\u0627\u06af\u0631 A(2,3)\u060c B(3,-2) \u062f\u0648 \u0645\u0642\u0631\u0631\u06c1 \u0646\u0642\u0627\u0637 \u06c1\u06cc\u06ba \u0627\u0648\u0631 P(x,y) \u0627\u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0646\u0642\u0637\u06c1 \u06c1\u06d2 \u062c\u0648 \u0634\u0631\u0637 |PA - PB| = 2 \u06a9\u0648 \u067e\u0648\u0631\u0627 \u06a9\u0631 \u0631\u06c1\u0627 \u06c1\u06d2\u060c \u062a\u0628 P \u06a9\u0627 \u0644\u0648\u06a9\u0633 \u06c1\u06d2", + "options": [ + "1. \\((x + y + 1)^2 = 4[(x - 3)^2 + (y + 2)^2]\\)", + "2. \\((x - 5y - 2)^2 = 4[(x - 2)^2 + (y - 3)^2]\\)", + "3. \\((x - 5y - 2)^2 = 4[(x - 3)^2 + (y + 2)^2]\\)", + "4. \\((x + y + 1)^2 = 4[(x - 2)^2 + (y - 3)^2]\\)" + ], + "answer": "3" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "45", + "question": "\u0627\u06cc\u06a9 \u0645\u0646\u062d\u0646\u06cc C \u06a9\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06a9\u0648 \\(X^2 + Y^2 - 6X + 8Y + 21 = 0\\) \u0645\u06cc\u06ba \u062a\u0628\u062f\u06cc\u0644 \u06a9\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2 \u062c\u0628 \u0646\u0642\u0627\u0637 \u06a9\u06d2 \u0645\u062d\u0648\u0631 \u06a9\u0648 \u0627\u0635\u0644 \u0646\u0642\u0637\u06c1 \u06a9\u06d2 \u06af\u0631\u062f \\(\\frac{\\pi}{4}\\) \u0632\u0627\u0648\u06cc\u06c1 \u06a9\u06d2 \u0633\u0627\u062a\u06be \u0645\u062b\u0628\u062a \u0633\u0645\u062a \u0645\u06cc\u06ba \u06af\u06be\u0645\u0627\u06cc\u0627 \u062c\u0627\u062a\u0627 \u06c1\u06d2\u06d4 \u0627\u06af\u0631 \\(ax^2 + by^2 + cx + dy + e = 0\\) \u0645\u0646\u062d\u0646\u06cc C \u06a9\u06cc \u062a\u0628\u062f\u06cc\u0644\u06cc \u0633\u06d2 \u067e\u06c1\u0644\u06d2 \u06a9\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06c1\u06d2\u060c \u062a\u0648 \\((a + b + c^2 + d^2 - 5e)^2 = 0\\)", + "options": [ + "1. 4", + "2. 9", + "3. 16", + "4. 25" + ], + "answer": "2" + }, + { + "language": "ur", + "country": "India", + "file_name": "/Users/rishabh.maheshwary/Downloads/ocr/EAMCET/previouspapers-eamcet-ts_eamcet_2021-06_aug2021_an_e_u.pdf", + "source": "https://education.sakshi.com/en/eamcet/previous-papers-2021/ts-eamcet-2021-engineering-question-paper-final-key-06-aug-2021-afternoonenglish-urdu-90203", + "license": "unknown", + "level": "high school", + "category_en": "maths", + "category_original_lang": "\u0631\u06cc\u0627\u0636\u06cc", + "original_question_num": "46", + "question": "\u062f\u06cc \u06af\u0626\u06cc \u0627\u06cc\u06a9 \u0633\u06cc\u062f\u06be\u06cc \u0644\u06a9\u06cc\u0631 \u06a9\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \u06c1\u06d2 \\(\\frac{x - x_1}{\\cos \\theta} = \\frac{y - y_1}{\\sin \\theta} = r\\). \u0627\u06af\u0631 \\((\\alpha, \\beta)\\) \u0633\u06d2 \u06af\u0632\u0631\u0646\u06d2 \u0648\u0627\u0644\u06cc \u062f\u06cc \u06af\u0626\u06cc \u0644\u06a9\u06cc\u0631 \u06a9\u06d2 \u0639\u0645\u0648\u062f\u06cc \u06a9\u06cc \u0645\u0633\u0627\u0648\u0627\u062a \\(\\frac{x}{a} + \\frac{y}{b} = 1\\) \u06c1\u06d2 \u062a\u0648 \\(\\frac{b}{a} = \\)", + "options": [ + "1. 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