CircleHard

Question

If the tangent at the point P on the circle x2 + y2 + 6x + 6y = 2 meets the straight line 5x - 2y + 6 = 0 at a point Q on the y -axis, then the length of PQ is

Options

A.4
B.2√5
C.5
D.3√5

Solution

The line 5x - 2y + 6 = 0 meets the y-axis at the point (0, 3 ) and therefore the tangent has to pass through the point (0, 3) and required length
       
       
       

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