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A tangent is drawn at any point (x 1 ,y 1 ) on the parabola y 2 =4ax. now tangents are drawn from any point on this tangent to the circle x 2 +y 2 =a 2 such that all chords of contact pass through a fixed pt( x 2 ,y 2 ) . prove that 4(x 1 / x 2 ) + (y 1 /y 2 ) 2 =0

A tangent is drawn at any point (x1,y1on the parabola y2=4ax. now tangents are drawn from any point on this tangent to the circle x2+y2=a2 such that all chords of contact pass through a fixed pt(x2,y2.
prove that   4(x1 / x2) + (y1/y2) 2 =0

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
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Vikas TU
14149 Points
one year ago
Dear student 
Hope your doubt gets cleared 
Please refer the solved examples of the below link 
 

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