Question

Assertion(A): The tangent to the curve $y=x^3-x^2-x+2$ at (1, 1) is parallel to the x axis.
Reason(R): The slope of the tangent to the above curve at (1, 1) is zero.

• A. Both A and R are true R is the correct explanation of A
• B. Both A and R are true but R is not correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

Answer: (A)

Both A and R are true R is the correct explanation of A

$y^1=3x^2-2x-1$
$y^1{|}_{x=1}=0=m$
$m=0$
$\therefore$ the curve is parallel to x-axis.