If the tangent at the point P on the circle x 2 + y 2 + 6 x + 6 y = 2 meets the straight line 5 x - 2 y + 6 = 0 at a point Q on the Y -axis, then the length of P Q is

Question

If the tangent at the point P on the circle x 2 + y 2 + 6 x + 6 y = 2 meets the straight line 5 x - 2 y + 6 = 0 at a point Q on the Y -axis, then the length of P Q is, 4, 2 5, 5, 3 5

MARKS App · Accepted Answer

Given S : x 2 + y 2 + 6 x + 6 y = 2 L : 5 x - 2 y + 6 = 0 At y axis x = 0 ⇒ - 2 y + 6 = 0 ⇒ y = 3 ⇒ Q = 0 , 3 ∴ Legent of tangent Q P = S 1 = 0 + 9 + 0 + 18 - 2 = 5

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