Conic Sections Question 51

Question: The equation of the tangent to the parabola $ y=x^{2}-x $ at the point where $ x=1 $ , is

[MP PET 1992]

Options:

A) $ y=-x-1 $

B) $ y=-x+1 $

C) $ y=x+1 $

D) $ y=x-1 $

Show Answer

Answer:

Correct Answer: D

Solution:

Point (1, 0)

therefore $ {{( \frac{dy}{dx} )} _{(1,0)}}=2-1=1 $

Hence the tangent is $ y-0=x-1 $ .