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STD 11 - 10.2 parabola,ellipse,hyperbola — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 10.2 parabola,ellipse,hyperbola4 Marks
MCQ
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
    $(1,6)$
  • ✓
    $(1,3)$
  • C
    $(7,1)$
  • D
    $(1,\frac{1}{2})$
✓

Answer

Correct option: B.
$(1,3)$
b
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. $(1,3)$

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