Home
Class 11
MATHS
An equilateral triangle is inscribed in ...

An equilateral triangle is inscribed in an ellipse whose equation is `x^2 + 4y^2 = 4`. If one vertex of the triangle is (0,1), then the length of each side is

A

`(8sqrt3)/13`

B

`(24sqrt3)/13`

C

`(16sqrt3)/13`

D

`(48sqrt3)/13`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

An equilateral triangle is inscribed in the parabola y^(2) = 4x . If a vertex of the triangle is at the vertex of the parabola, then the length of side of the triangle is a) sqrt(3) b) 8 sqrt(3) c) 4 sqrt(3) d) 3 sqrt(3)

An equilateral triangle is inscribed in the parabola y^2=4 a x , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

An equilateral triangle is inscribed in the parabola y^2 =4ax whose one vertex is at the vertex of the parabola if 1 cms is the side of the equilateral triangle prove that the length of each altitude of the triangle is (1sqrt3)/2 cms

An equilateral triangle is inscribed in the parabola y^2 =4ax whose one vertex is at the vertex of the parabola Show that side of the triangle=8sqrt3 a cms

Consider a triangle whose sides are along x+y = 2, 3x-4y = 6 and x-y = 0 Find the vertices of the triangle

An equilateral triangle with side 1c.m is inscribed in the parabola y^2 =4ax whose one vertex is at the vertex of the parabola Prove that [(1sqrt3)/2, 1/2] is a point on the parabola

Consider a triangle whose sides are y = x, y = 2x and y = 3x + 4 Find the area of the triangle.

A 50 centimetre long rod is to be cut into two pieces, one of which is to be bent to form a square and other is to be bent to form an equilateral triangle. The length of a side of the equilateral is twice the length of the side of a square. Find the length of the side of a square and equilateral triangle.