# If two tangents are drawn from point (p,q)to the parabola y^2=4x such that slope of one tangent is square to other. Then value of p^2+3pq+p

Arun
25757 Points
5 years ago
Dear Sanjeev

tangent
$y = mx + (a/m)$

Now it passes through p and q
$q = mp + (1/m)$

$m^2p - mq + 1 = 0$

now
$m2 = m1^2$

m1 *m2 = 1/p

$m1^3 = 1/p$
and
$m1 + m1^2 = q/p$

Now I think you can solve this.

Regards
Arun (askIITians forum expert)