Range of values of 'a' such that angle θ between pair of tangents drawn from point (a, 0) t

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10-1.Circle and System of Circles

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The range of values of $'a'$ such that the angle $\theta$ between the pair of tangents drawn from the point $(a, 0)$ to the circle $x^2 + y^2 = 1$ satisfies $\frac{\pi }{2} < \theta < \pi$ is :

A

$(1, 2)$

B

$\left( {1\,\,,\,\,\sqrt 2 } \right)$

C

$\left( { - \,\sqrt 2 \,\,,\,\, - \,1} \right)$

D

$\left( { - \,\sqrt 2 \,\,,\,\, - \,1} \right)\, \cup \,\left( {1\,\,,\,\,\sqrt 2 } \right)$

Solution

Use the concept of director circle

Standard 11

Mathematics

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