MHT CET 2023 Mathematics question

Mathematics Application of Derivatives MHT CET 2023

A(1, -3), B(4, 3) are two points on the curve . The points on the curve, the tangents at which are parallel to the chord AB, are

(A)(1, 2), (-1, -2)
(B)(2, 0), (-2,0)Correct
(C)(0, 2), (1, -2)
(D)(3, 2), (-3, 1)

Answer: (B)

Solution

Slope of chord AB . Slope of tangent: . Setting . Then : at , ; at , . So the

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Question ID VK-097917