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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

AI Generated Solution

To solve the problem of finding the tangent of the parabola \( y^2 = 4x \) at the point where it intersects the circle \( x^2 + y^2 = 5 \), we will follow these steps: ### Step 1: Find the points of intersection between the parabola and the circle. We have the equations: 1. \( y^2 = 4x \) (Equation of the parabola) 2. \( x^2 + y^2 = 5 \) (Equation of the circle) ...
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