Questions
Two straight lines are perpendicular to each other. One of them touches the parabola and the other touches .Their point of intersection lies on the line
detailed solution
Correct option is C
Given parabola is y2=4ax+aSlope form of equation of tangent is y=mx+a+am…..(i) Any tangent to y2=4b(x+b) which is perpendicular to (i) is y=−1m(x+b)−bm… (ii) Subtracting (i) & (ii), we get m+1mx+(a+b)m+1m=0⇒x+a+b=0Which is a locus of their point of intersection.Talk to our academic expert!
Similar Questions
The length of the perpendiculars from the focus
and the extremities of a focal chord of a parabola
on the tangent at the vertex form
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