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if the normals at three points P,Q,R of the parabola y^2=4ax meet in a point O and S be its focus, then |SP|.|SQ|.|SR| is equal to

if the normals at three points P,Q,R of the parabola y^2=4ax meet in a point O and S be its focus, then |SP|.|SQ|.|SR| is equal to

Grade:12

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
5 years ago
You can use the cubic equation of normal to parabola.SP,SQ,SR are nothing but distance from origin which can be used in parametric form.

Use cubic equation to get the relations which will be required in answers

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