The point on the curves y = (x – 3)2 where the tangent is parallel to the chord joining (3, 0) and (4, 1) is
A. \(\left(-\frac{7}{2}, \frac{1}{4}\right)\)
B. \(\left(\frac{5}{2}, \frac{1}{4}\right)\)
C. \(\left(-\frac{5}{2}, \frac{1}{4}\right)\)
D. \(\left(\frac{7}{2}, \frac{1}{4}\right)\)
Answer:D
The point on the curves y = (x – 3)2 where the tangent is parallel to the chord joining (3, 0) and (4, 1) is
A. \(\left(-\frac{7}{2}, \frac{1}{4}\right)\) B. \(\left(\frac{5}{2}, \frac{1}{4}\right)\) C. \(\left(-\frac{5}{2}, \frac{1}{4}\right)\) D. \(\left(\frac{7}{2}, \frac{1}{4}\right)\)