Circles ncert solutions Chapter 10 Exercise 10.2 Question 3
3. If tangents PA and PB from a point P to a circle with center O are inclined to each other at angle of
, then
is equal to
(A)
(B)
(C)
(D)
In
and
,
PA = PB (Length of Tangents from external point to a circle are equal}
PO=PO {Common}
OA = OB {radii of circle are equal}
Therefore,
Therefore,
{Corresponding angles of congruent triangles are equal}
{
}
In
{Tangent is perpendicular to radius}
{Sum of interior angles of triangle is equal to 180 degrees}
Therefore, answer is (A)
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