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The area of the triangle formed by the t...

The area of the triangle formed by the tangents from (1,3) to the circle `x^(2)+y^(2)-4x+6y+1=0` and its chord of contact is

A

`(250sqrt3)/(37)`

B

`(125sqrt3)/(7)`

C

`(250sqrt3)

D

`(125sqrt3)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. A point P is taken on the circle x^(2)+y^(2)=a^(2) and PN, PM are draw...

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  2. If the pole of a line w.r.t to the circle x^(2)+y^(2)=a^(2) lies on th...

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  3. The area of the triangle formed by the tangents from (1,3) to the circ...

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  4. The locus of the poles of the line ax+by+c=0 w.r.t a system of circles...

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  5. The locus of the poles of the line 2x+3y-4=0 w.r.t. the circle x^(2)+y...

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  6. The inverse point of (1,-1) with respect to the circle x^(2)+y^(2)=4, ...

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  7. The inverse point of origin w.r.t. the circle x^(2)+y^(2)+2gx+2fy+c=0 ...

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  8. The inverse point of (1,2) origin w.r.t. the circle x^(2)+y^(2)-4x-6y+...

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  9. The inverse point of (1,2) w.r.t. the circle x^(2)+y^(2)=25, is (5,k) ...

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  10. The inverse point of (x(1),y(1)) w.r.t. the circle x^(2)+y^(2)=a^(2)" ...

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  11. For the circle x^(2)+y^(2)-6x+8y-1=0, points (2,3), (-2,-1) are

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  12. For the circle x^(2)+y^(2)-3x-5y+1=0, the points (4,2), (3,-5) are

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  13. For the circle x^(2)+y^(2)-2x+2y+1=0, the points (-6,1),(2,3),(14/15,-...

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  14. The equation of the chord of the circle x^(2)+y^(2)=25 with (1,-1) as ...

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  15. The equation of the chord of the circle x^(2)+y^(2)-4x+6y-3=0 having (...

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  16. Given that for the circle x^(2)+y^(2)-4x+6y+1=0 the line with equation...

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  17. The length and the midpoint of the chord 4x-3y+5=0 w.r.t. the circle x...

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  18. The length and the midpoint of the chord 2x+y-5=0 w.r.t. the circle x^...

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  19. If the tangent at (3,-4) to the circle x^(2)+y^(2)-4x+2y-5=0 cuts the ...

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  20. The midpoint of the chord formed by the polar of (-9,12) w.r.t. x^(2)+...

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