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f 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

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detailed solution

Correct option is C

The line 5x−2y+6=0 cuts y-axis at at Q(0,3). Clearly, PQ is the length of the tangent drawn from Q on the circlex2+y2+6x+6y−2=0∴ PQ=0+9+6×0+6×3−2¯=5

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f 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

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free study material

f 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