Home
Class 12
MATHS
The equation of base of an equilateral t...

The equation of base of an equilateral triangle is `x+y=2` and vertex is (2, -1). Then the length of the side of the triangle equals:

A

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

B

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

C

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

D

`sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

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

The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.

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.

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

Prove that the area of an equilateral triangle described on one side of a square is equal of half the area of the equilateral triangle described on one of its diagonals.

Let PQR be a triangle of area Delta with a=2 , b=(7)/(2) and c=(5)/(2) , where a,b and c are the lengths of the sides of the triangle opposite to the angles at P,Q and R respectively. Then (2sinP-sin2P)/(2sinP+sin2P) equals

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the trianlge as centre, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region .

Draw an equilateral triangle whose sides are 5.2 cm. each

The sides of a triangle are in A.P and its area is (3)/(5)xx (area of equilateral triangle of same perimeter). Then the ratio of the sides to :

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The centroid of a triangle formed by the points (0, 0), (cos theta, si...

    Text Solution

    |

  2. Foot of the perpendicular from (-2,-1) on to the line 3 x+2 y-5=0 is

    Text Solution

    |

  3. The equation of base of an equilateral triangle is x+y=2 and vertex is...

    Text Solution

    |

  4. The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) an...

    Text Solution

    |

  5. The equation of the line through (2,3) and parallel to 2 x-3 y+1=0 is

    Text Solution

    |

  6. The equation of the line whose intercepts on x= axis and y -axis are r...

    Text Solution

    |

  7. Equation of the bisector of the obtuse angle between the lines 4 x+3 y...

    Text Solution

    |

  8. The equations of the bisector of the acute angle between the lines 3 x...

    Text Solution

    |

  9. A point moves such that the area of the triangle formed by it with the...

    Text Solution

    |

  10. The locus of the point equidistant from (1,-1) and (-1,1) is

    Text Solution

    |

  11. The locus of the point whose distance from x -axis is twice its distan...

    Text Solution

    |

  12. Locus of a point which moves such that its distance from the X-axis is...

    Text Solution

    |

  13. A straight rod of length 9 units slides with its ends A, B always on t...

    Text Solution

    |

  14. The locus of the mid-point of the portion of the line xcos alpha+y sin...

    Text Solution

    |

  15. The locus of the point x=a cos theta, y=b sin theta is

    Text Solution

    |

  16. The locus of the point x=a(cos theta+sin theta) <bx> y=b (cos theta-si...

    Text Solution

    |

  17. The locus of the point x=a+b cos theta y=b+a sin theta is

    Text Solution

    |

  18. The locus of the point x=a+sec theta y=b+a tan theta is

    Text Solution

    |

  19. The locus of the point (a cos ^(3) theta, a sin ^(3) theta) is

    Text Solution

    |

  20. The locus of the point (a+b t, b-(a)/(t)), where t is the parameter is

    Text Solution

    |