Question 40

Mathematics Ellipse Hard

The locus of the point of intersection of tangents to the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) which meet right angles is

(A) a circle
(B) a parabola
(C) an ellipse
(D) a hyperbola
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

This is a standard result. The locus will be a circle. This is known as director circle

Practice Similar Ellipse Questions

Reinforce your conceptual grasp with related questions from NIMCET 2021:

Q31 The area of the region bounded by the \(x\)-axis and the curves defined by...
Solve →
Q32 If \(log (1-x+x 2)= a 1x+ a 2 x 2+ a 3 x 3+. . \) then \( a 3+ a 6+ a 9+....
Solve →
Q33 \(lim x ∞ (x+7/x+2) x+5 \) equal to
Solve →
Q34 The number of common tangents to the circle \(x 2+y 2=4\) and \(x 2+y...
Solve →
Q35 In a ΔABC, if \(tan 2A/2+tan 2B/2+tan 2C/2=k\) , then k is always
Solve →
Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →