1.

y=x is tangent to the parabola `y=ax^(2)+c`. If c=2, then the point of contact isA. (3,3)B. (2,2)C. (6,6)D. (4,4)

Answer» Correct Answer - D
(4) If c=2, then the point of contact is `(1//2a,1//4a+2)`.
Since it lies on the line y=x, we have
`(1)/(2a),(1)/(4a)+2`
`i.e," "a=(1)/(8)`
Therefore, the point of contact is (4,4)


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