Home
Class 12
MATHS
A vertex of an equilateral triangle is 2...

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

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Example|3 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|12 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The vertex of an equilateral triangle is (2,3) and the equation of the opposite side is x+y=2 . Then, the other two sides are y-3=(2pmsqrt3)(x-2) .

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.

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1, then orthocentre of the triangle is :

The equation of the base of an equilateral triangle is x+y=2 and its vertex is (2,-1)dot Find the length and equations of its sides.

The equation of the base of an equilateral triangle is x+y=2 and its vertex is (2,-1)dot Find the length and equations of its sides.

The equation of the base of an equilateral triangle is x+y-2=0 and the opposite vertex has coordinates (2, -1). Find the area of the triangle.

The area of an equilateral triangle with side 2sqrt3 cm is

The side of an equilateral triangle is 3.5 cm. Find its perimeter

The vertex P of an equilateral triangle trianglePQR is at (2,3) and the equation of the opposite side QR is given by x+y=2 . Find the possible equations of the side PQ.

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A vertex of an equilateral triangle is 2,3 and the opposite side is x+...

    Text Solution

    |

  2. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  3. A straight line through the point A (3,4) is such that its intercept b...

    Text Solution

    |

  4. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  5. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

    Text Solution

    |

  6. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  7. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  8. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

  9. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  10. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  11. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  12. A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  13. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  14. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  15. Let a, b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  16. For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...

    Text Solution

    |

  17. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  18. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

    Text Solution

    |