Home
Class 11
MATHS
Obtain the area of equilateral triangle ...

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

Text Solution

Verified by Experts

The correct Answer is:
`(3sqrt(3))/(4)(g^(2)+f^(2)-c)` Sq. unit
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE : 11.1|15 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE : 11.2|12 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

What is the area of an equilateral triangle inscribed in a circle of radius 4cm?

Obtain equation of circle in x^(2) + y^(2) - 2x - 2y + 1 = 0

Obtain equation of circle in x^(2) + y^(2) - x + y = 0

The point (1,2) lies inside the circle x^(2) + y^(2) - 2x + 6y + 1 = 0 .

Find the equation of a circle concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and has double of its area.

Find the centre and radius of equation of circle in x^(2) + y^(2) - x + 2y - 3 = 0

The centre of the circle 2x^(2) + 2y^(2) + (3)/(2) x + 9 = 0 is . . . .

The area of an equilateral triangle with each side measuring 10 cm is …………. cm^(2)

Find the area of the region bounded by circle x^2 +y^2 = 8x and parabola y^2 = 4x.