The area of the triangle formed by the tangent and the normal drawn to the curve y^2=4x at (1 ,2 ) with Y-axis is (in square units)

Question

Accepted Answer

Correct answer: D. (d) We have y^2=4x Now tangent at (1 ,2 ) is 2y=2.1 (x+1 ) ⇒y=x+1 … … (i ) Normal at (1 ,2 ) is y=-x+1 … . . ( ii ) and y-axis ⇒x=0......(iii) Hence, area of triangle formed by equations (i), (ii) and (iii) is Area =2 12 1 1=1

$The area of the triangle formed by the tangent and the normal drawn to the curve y^{2} = 4 x at (1, 2) with Y -axis is (in square units)$

Solution

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