Test SeriesFree PYQsExamsPricing

JEE Main 2026 Mathematics question

MathematicsCircleJEE Main 2026

Consider the circle C : x² + y² − 6x − 8y − 11 = 0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of the perpendicular drawn from the origin on the chord AB is the circle x² + y² − αx − βy − γ = 0, then α + β + 2γ is equal to .

Answer: 18

Solution

Let the chord be lx+my=1. Homogenising the circle with this line and requiring the coefficients of x² and y² to sum to zero (right angle at O) gives

See the full step-by-step solution

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

Create a free account

Question ID VK-015733