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The area of an equilateral triangle insc...

The area of an equilateral triangle inscribed in the circle `x^(2)+y^(2)+2gx+2fy+c=0` is

A

`pi(g^(2)+f^(2)-c)^(2)`

B

`1/4(g^(2)+f^(2)=c)`

C

`(3sqrt(3))/4(g^(2)+f^(2)-c)`

D

`(sqrt(3))/4(g^(2)+f^(2)-c)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The number of parameters of the equation ax^(2)+ay^(2)+2fy+c=0 is

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  2. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

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  3. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

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  4. The equation to the circle whose radius is 3 and which touches interna...

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  5. A circle of radius 2 units rolls inside the ring of the circle x^(2)+y...

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  6. If 4y=x +7 is a diameter of the circumscribing circle of the rectangle...

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  7. The area of the quadrilateral formed by the tangents from the point (4...

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  8. The area (in sq units) of the triangle formed by the tangent, normal a...

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  9. The area of the triangle formed with coordinate axes and the tangent a...

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

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  11. The area of an equilateral triangle inscribed in the circle x^(2)+y^(2...

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  12. A right angled isoceles triangle is inscribed in the circle x^(2)+y^(2...

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  13. Observed the following statements I: The intercepts of the circle x^...

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  14. The polar of p with respect to a circle s=x^(2)+y^(2)+2gx+2fy+c=0 with...

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  15. Given that p(x(1),y(1)) is interior point of the circle S=x^(2)+y^(2)+...

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  16. The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distin...

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  17. The locus of the point (2+3cos theta, 1+3 sin theta) when theta is par...

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

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

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  20. To the circle x^(2)+y^(2)=16 tangent at the point theta=(pi)/3 is

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