defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Parabola, Ellipse and Hyperbola Ellipse
If chord of contact of the tangents drawn from the point (α, β) to the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\), touches the circle x2 + y2 = c2 , then the locus of the point (α, β) is
1
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=\frac{1}{c^2}\)
2
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=\frac{1}{c^4}\)
3
\(\frac{x^2}{a^4}+\frac{y^2}{b^4}=\frac{1}{c^2}\)
4
None of these