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(a,b) is the midpoint of the chord AB of...

(a,b) is the midpoint of the chord AB of the circle `x^(2)+y^(2)=r^(2)`. The tangents at A,B meet at C, then the area of `triangleABC=`

A

`((a^(2)+b^(2)+r^(2))^(3//2))/(sqrt(a^(2)+b^(2))`

B

`((r^(2)-a^(2)-b^(2))^(3//2))/(sqrt(a^(2)+b^(2))`

C

`((a^(2)-b^(2)-r^(2))^(3//2))/(sqrt(a^(2)+b^(2))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
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  6. The equation of the tangents drawn from the origin to the circle x^(2)...

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  7. The angle between the tangents drawn from (0,0) to the circle x^(2)+y^...

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  8. If theta is the angle between the tangents from (-1,0) to the circle x...

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  9. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

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  11. The condition that the pair of tangents drawn from the origin to the c...

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

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

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  14. The tangents drawn from the origin x^(2)+y^(2)-2rx-2hy+h^(2)=0 are per...

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  15. The parametric equation of the circle (x-3)^(2)+(y-2)^(2)=100 are

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  16. The coordinate of the point on the circle (x-1)^(2)+(y+2)^(2)=9 having...

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  17. The parametric equation of the circle x^(2)+y^(2)+8x-6y=0 are

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  18. The equation of the circle passing through the point (-1+3 cos theta, ...

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  19. Show that the locus of the point of inter section of the lines x cos t...

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