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  • If the tangents at two points (1, 2) and (3, 6) as a parabola intersect at the point (– 1, 1), then the slope of the directrix of the parabola is   <div class='qna-opt

If the tangents at two points (1, 2) and (3, 6) as a parabola intersect at the point (– 1, 1), then the slope of the directrix of the parabola is 

 

Option: 1

\sqrt{2}


Option: 2

 – 2


Option: 3

– 1


Option: 4

none of these


Answers (1)

best_answer

If the tangents at P and Q intersect at T, then axis of parabola is parallel to TR, where R is the mid point of P and Q.  So, slope of the axis is 1.

∴ slope of the directrix = – 1. 

 

Posted by

Divya Prakash Singh

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