Home
Class 12
MATHS
Let the vertex of an equilateral triangl...

Let the vertex of an equilateral triangle be the origin and the side opposite to it have the equaiton `x+y=1`. Then the co-ordinates of the orthocentre of the triangle are:

A

`((1)/(3), (1)/(3))`

B

`((2)/(3), (2)/(3))`

C

`((sqrt(2))/(3), (sqrt(2))/(3))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-II)|50 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

One vertex of the equilateral triangle with centroid at the origin and one side as x+y-2=0 is :

The altitude of an equilateral triangle having the length of its side 12 cm is

If the vertices of an equilateral triangle have rational co-ordinates, then the triangle cannot be :

If two vertices of an equilateral triangle have integral co-ordinates, then the third vertex will have :

If the centroid of an equilateral triangle is (1, 1) and its one vertex is (-1, 2), then the equation of the circumcentre is :

Draw an equilateral triangle whose sides are 5.2 cm. each

The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

ABC is an equilateral triangle of side 2a. Find each of its altitudes.

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