Home
Class 11
MATHS
If one vertex of an equilateral triangle...

If one vertex of an equilateral triangle is at `(2.-1)` 1base is `x + y -2 = 0`, then the length of each side, is

A

`sqrt(3//2)`

B

`sqrt(2//3)`

C

`2//3`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|34 Videos
  • STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise SECTION - II (ASSERTION - REASON TYPE MCQs|1 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If an equilateral triangle is inscribed in the circle x^2 + y2 = a^2 , the length of its each side is

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/3) (b) 2/(sqrt(15)) sqrt(8/(15)) (d) sqrt((15)/2)

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is (a) sqrt((20)/3) (b) 2/(sqrt(15)) (c) sqrt(8/(15)) (d) sqrt((15)/2)

A vertex of an equilateral triangle is (2,3) and the opposite side is x+y=2. Find the equations of other sides.

The co-ordinates of the vertex of an equilateral triangle are (2,-1) and equation of its base is x+y-1=0 . Find the equations of its other two sides.

A vertex of an equilateral triangle is 2,3 and the opposite side is x+y=2. Find the equations of other sides.

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

If the centroid of an equilateral triangle is (1,1) and its one vertex is (-1, 2), then the equation of its circumcircle is: is x^2+y^2-2x-2y-3=0 b. x^2+y^2+2x-2y-3=0 c. x^2+y^2+2x+2y-3=0 d. none of these

An equilateral triangle is inscribed in the ellipse whose equation is x^(2)+4y^(2)=4 . One vertex of the triangle (0, 1) and one altitude is contained in the y - axis. If the length of each side is ksqrt3 units, then k is

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:

OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
  1. If PM is the perpendicular from P(2,3) on the line x+y=3, then the co...

    Text Solution

    |

  2. The incentre of the triangle formed by the line 3x + 4y-12 = 0 with th...

    Text Solution

    |

  3. If one vertex of an equilateral triangle is at (2.-1) 1base is x + y -...

    Text Solution

    |

  4. The area of the parallelogram formed by the lines 3x-4y + 1=0, 3x-4y +...

    Text Solution

    |

  5. Points A (1, 3) and C (5, 1) are opposite vertices of a rectangle ABCD...

    Text Solution

    |

  6. The line x+ 2y=4 is-translated parallel to itself by 3 units in the se...

    Text Solution

    |

  7. The line PQ whose equation is x-y = 2 cuts the x-axis at P, and Q is (...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. The vertices of a diagonal of a square are (-2,4) and (-2,-2) Find the...

    Text Solution

    |

  11. The equations of two sides of a square whose area is 25 sq.units are 3...

    Text Solution

    |

  12. Centroid of the triangle, the equations of whose sides are 12x^(2)-20x...

    Text Solution

    |

  13. If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then...

    Text Solution

    |

  14. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

    Text Solution

    |

  15. If the foot of the perpendicular from the origin to a straight line is...

    Text Solution

    |

  16. A rectangle has two opposite vertices at the points (1,2) a n d (5,5)....

    Text Solution

    |

  17. The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is...

    Text Solution

    |

  18. A line passes through the point (2,2) and is perpendicular to the line...

    Text Solution

    |

  19. A line passes through (2, 2) and is perpendicular to the line 3x+y=3. ...

    Text Solution

    |

  20. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

    Text Solution

    |