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The tangent of parabola y^(2) = 4x at th...

The tangent of parabola `y^(2) = 4x` at the point where it cut the circle `x^(2) + y^(2) = 5`. Which of the following point satisfies the eqaution of tangent.

A

` ( - ( 1 ) / (3) , ( 4 )/(3)) `

B

` ( - (1 )/(4) , ( 1)/(2)) `

C

` (( 1 )/(4), (3 ) /(4)) `

D

` (( 3 ) /(4),(7)/(4)) `

Text Solution

Verified by Experts

` x ^ 2 + 4x - 5 = 0 `
` ( x + 5) ( x - 1 ) = 0 `
Required point in quadrant first is ` (1, 2 ) `
Required equation is ` x - y + 1 = 0 ` and now check option]
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