Home
Class 12
MATHS
An equilateral triangle has one vertex a...

An equilateral triangle has one vertex at (0, 0) and another at `(3, sqrt(3))`. What are the coordinates of the third vertex ?

Text Solution

Verified by Experts

The correct Answer is:
`(0, 2sqrt(3))` or `(3, - sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

An equilateral triangle has two vertices at the points (3, 4) and (-2, 3) , find the coordinates of the third vertex.

Equilateral triangle has one line of symmetry.

If one vertex of an equilateral triangle of side 'a' lie at the origin and the other lies on the line x-sqrt3 y = 0 , the co-ordinates of the third vertex are:

Two vertices of a triangle are (3,- 1) and (- 2, 3) and its orthocentre is at the origin. Find the co-ordinates of the third vertex.

If ‘a’ is the length of one of the sides of an equilateral triangle ABC, baseBC lies on x-axis and vertex B is at the origin, find the coordinates,of the vertices of the triangle ABC.

If three verticles of a rectangle are (0,0), (2, 0), and (0, 3), find the coordinates of the fourth vertex?

Two vertices of an equilateral triangle are (0, 0) and (0,2 sqrt3) . Find the third vertex.

In fig. trianglePQR is an equilateral triangle with points Q(-3,0) and R(3,0). Find the coordinates of the vertex P.

The vertices of a triangle are (3, 0), (3, 3) and (0, 3). Then the coordinates of the circumcentre are :