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If P is a point such that the ratio of t...

If P is a point such that the ratio of the squares of the lengths of the tangents from P to the circles `x^(2)+y^(2)+2x-4y-20=0` and `x^(2)+y^(2)-4x+2y-44=0` is 2:3, then the locus of P is a circle with centre .

A

(7,-8)

B

(-7,8)

C

(7,8)

D

(-7,-8)

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-EXERCISE -I
  1. The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y...

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  2. The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y...

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  3. If P is a point such that the ratio of the squares of the lengths of t...

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  4. The locus of the point from which the length of the tangent to the cir...

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  5. The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1...

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  6. The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 t...

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  7. The equation of the tangents to the circle x^(2)+y^(2)=25 with slope 2...

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  8. The equation of the tangents to the circle x^(2)+y^(2)=4 which are par...

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  9. The point of contact of y=x+3sqrt(2) with x^(2)+y^(2)=9 is

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  10. The circle to which two tangents can be drawn from origin is

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  11. The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-...

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  12. The number of tangents to the circle x^(2)+y^(2)=5, that can be drawn ...

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  13. The circle with centre (4,-1) and touching x-axis is

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  14. Circle touching both the axes and radius 5 is

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  15. The circle 4x^(2)+4y^(2)-12x-12y+9=0

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  16. The equation of the circle of radius 5 and touching the coordinate axe...

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  17. The circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches axes of co ordinates at

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  18. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

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  19. The y-intercept of the circle x^(2)+y^(2)+4x+8y-5=0 is

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  20. In intercept made by the circle with centre (2,3) and radius 6 on y-ax...

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