Questions
is a normal to the parabola
at the point whose distance from the directrix
of the parabola is
a
4a
b
5a
c
42a
d
8a
detailed solution
Correct option is B
Let P be 9t2/4,9t/2, then NP=9t/2.MN=9t/4equation of MQ is y=9t/4 which meets the parabolay2=9x at the point Q9t2/16,9t/4,N is 9t2/4,0equation of NQ is y=−9×164×27tx−94t2 which meets the tangentx=0 (at the vertex A) at the point for whichy=3t so that AT=3t and ATNP=3t×29t=2β.Talk to our academic expert!
Similar Questions
Locus of the point of intersection of the normals to the parabola which are at right angles is
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