If the normals at two points $P$ and $Q$ on the parabola $y^{2} = 4 x$ , meet on the parabola, then the locus of the point of intersection of the tangents at $P$ and $Q$

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

Can be a straight line parallel to the axis of the parabola

Can be straight line parallel to the directrix of the parabola

Can be the curve y² (x + 2) + 4 = 0

Can be the curve y² (x + 2) - 4 = 0

answer is B, C.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let P(t₁) Q(t₂) case -1 $t_{1} + t_{2} = - \frac{2}{t_{1}}$
So focus is y²(x + 2) + 4 = 0 case - II t₁t₂ = 2 So focus is x = 2

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test