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y=x is tangent to the parabola y=ax^(2)+...

y=x is tangent to the parabola `y=ax^(2)+c`.
If (1,1) is the point of contact, then a is (a) `1/4` (b) `1/3` (c) `1/2` (d) `1/6`

A

`1//4`

B

`1//3`

C

`1//2`

D

`1//6`

Text Solution

Verified by Experts

The correct Answer is:
C
(3) If (1,1) is point of contact, then a=1/2.
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