Question

If the tangent to the parabola y² = ax makes an angle of 45⁰ with x-axis, then the point of contact is

• A.
• B.
• C.
• D.

Answer 1

Answer: (D)

Answer 2

y² = ax Ž 2y ×

Slope of tangent = … (i)

Slope of given tangent m = tan 45⁰ = 1 …(ii)

From (i) and (ii) are same \ Ž y = $\frac { \mathrm { a } } { 2 }$

and x = a/4 Ž (a/4, a/2)