Test SeriesFree PYQsExamsPricing

JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

P is a point. Two tangents are drawn from it to the parabola such that the slope of one tangent is three times the slope of the other. The locus of P is

Answer: (C)

Solution

Let . Any tangent to () is ; it passes through P if

β = mα + Missing argument for \frac\frac1m ⇒ α - β m + 1 = 0 .

Let the roots be and . Then

See the full step-by-step solution

Create a free account to read the complete working (6 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-109039