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The point from which the tangents to the...

The point from which the tangents to the circles `x^2+y^2-8x+40=0, 5x^2+5y^2-25x+80=0` and `x^2+y^2-8x+16y+160=0` are equal in length is

A

`(8,(-15)/2)`

B

`(-8,15/2)`

C

`(8,15/2)`

D

`(-8,(-15)/2)`

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The correct Answer is:
A
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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
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  2. The centre of the circle orthogonal to the circles x^2+y^2+4y+1=0 , x^...

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  3. The point from which the tangents to the circles x^2+y^2-8x+40=0, 5x^2...

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  4. You are given n ( ge 3) circles having different radical axes and rad...

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  5. If A, B, C are the centres of three circles touching mutually external...

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  6. The radical centre of the three circles described on the three sides o...

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  7. ABC is a triangle. The radical centre of the circles with AB, BC, CA a...

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  8. A, B, C are the centres of three circles of equal radii which donot to...

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  9. A,B,C are the centres of the three circles C1,C2,C3 such that C1,C2 ...

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  10. The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2...

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  11. The distance of the point (1,-2) from the common chord of the circles ...

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  12. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

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  13. The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)...

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  14. If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumfer...

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  15. The condition that the circle x^(2) +y^(2) + 2gx+ 2fy + c = 0 to bisec...

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  16. The length of the common chord of the two circles (x-a)^2+(y-b)^2=c^2,...

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  17. The circle on the chord xcos alpha + ysin alpha =p of the circle x^2+y...

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  18. The equation of the circle described on the common chord of the circle...

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  19. If the circle x^2+y^2+2x+3y+1=0 cuts another circle x^2+y^2+4x+3y+2=0 ...

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  20. The equation of the circle which passes through the origin has its cen...

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