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Locus of the points of intersection of perpendicular tangents drawn one to each of the circles `x^(2)+y^(2)-4x+6y-37=0, x^(2)+y^(2)-4x+6y-37=0, x^(2)+y^(2)-4x+6y-20=0` is

A

`x^(2)+y^(2)-4x+6y=0`

B

`x^(2)+y^(2)-4x+6y-50=0`

C

`x^(2)+y^(2)-4x+6y-57=0`

D

`x^(2)+y^(2)-4x+6y-70=0`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. Locus of point of intersection of perpendicular tangents to the circle...

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  2. Locus of the point of intersection of perpendicular tangents drawn one...

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  3. Locus of the points of intersection of perpendicular tangents drawn on...

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  4. The condition that the pair of tangents drawn from origin to circle ...

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  5. If two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle...

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  6. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

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  7. Assertion (A): The director circle of x^(2)+y^(20=4 is x^(2)+y^(2)= ...

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  8. The equation of the circle withcentre at (4,3) and touching the line 5...

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  9. Numebr of circles touching all the lines x+y-1=0, x-y=1=0 and y+1=0 ar...

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  10. The number of circles that touch all the straight lines x + y = 4, x -...

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  11. The number of circles that touches all the three lines x+y-1=0, x-y-1=...

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  12. The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2...

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  13. Number of circles touching all the lines x+4h+1=0, 2x+3y+3=0 and x-6y+...

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  14. The line y=x is a tangent at (0,0) to a circle of radius is 1, then ce...

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  15. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

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  16. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet t...

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  17. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

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  18. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

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  19. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

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  20. The locus of the points from which the lengths of the tangents to the ...

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