Point from which two distinct tangents can be drawn on two different branches of hyperbola frac{{{x^

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10-2. Parabola, Ellipse, Hyperbola

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Point from which two distinct tangents can be drawn on two different branches of the hyperbola $\frac{{{x^2}}}{{25}} - \frac{{{y^2}}}{{16}} = \,1$ but no two different tangent can be drawn to the circle $x^2 + y^2 = 36$ is

A

$(1,6)$

B

$(1,3)$

C

$(7,1)$

D

$(1,\frac{1}{2})$

Solution

Region where $2$ tangents to two different branches can be drawn.

$\therefore(1,6),(1,3)$

But from $(1,6) 2$ tangents to circle can be drawn

$\therefore$ Ans. $(1,3)$

Standard 11

Mathematics

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