Questions
If the normal at to the parabola meets
the parabola again at such that subtends a
right angle at the vertex of the parabola, then the
coordinates of are
a
(2a,22a)
b
(−2a,22a)
c
(22a,2a)
d
(22a,−2a)
detailed solution
Correct option is A
Let the coordinates of P be am2,−2am and Q be am2,−2am′ then −2amam2×−2am′am′2=−1⇒mm′=−4Normal at P,y=mx−2am−am3 Since it passesthrough Q−2a−4m⊨am16m2−2am−am3=0⇒m4+2m2−8=0⇒m=±2 and thecoordinates of P are (2a,±22a).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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