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If the tangent at the point P on the cir...

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

A

4

B

`2sqrt5`

C

5

D

`3sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-CIRCLE-QUESTION BANK
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  2. Two circles with radii a and b touch each other externally such that t...

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  3. If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the ...

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  4. The number of common tangents that can be drawn to the circles x^2+y^2...

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  5. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

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  6. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

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  7. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

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  8. The angle between a pair of tangents drawn from a point P to the circl...

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  9. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

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  10. The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0...

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  11. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

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  12. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

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  13. The equation of the circle whose diameter is the common chord of the c...

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  14. A circle of the coaxial system with limiting points (0, 0) & (1, 0) is

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  15. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

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  16. The triangle PQR is inscribed in the circle x^2+y^2=25. If Q and R hav...

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  17. If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...

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  18. The locus of the centre of the circle which passes through the origin ...

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  19. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

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