Home
Class 12
MATHS
If (-2,0) and (2,0) are the two vertices...

If (-2,0) and (2,0) are the two vertices of a triangle with perimeter 16 then obtain the locus of the third vertex.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|76 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

Similar Questions

Explore conceptually related problems

If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle and the bisector of the angle BAC, meets BC at D, then find the coordinates of the point D.

Two vertices of a triangle are (0,-4) and (6,0).If the medians meet at the point (2,0), find the coordinates of the third vertex.

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(8,6,1), B(2,0,1), C(-4,0,-5)

In a triangle one of the vertices is at (2,5) and the centroid of the triangle is at (-1,1). Find the coordinates of the midpoint of the side opposite to the given angular point.

If the area of the triangle with vertices (0,0),(1,0),(0,a) is 10 units, find the value of a.

IF the area of a triangle with vertices (-3,0) (3,0) and (0,k) is 9 sq units. Then find k.

A triangle has its vertices at P(1,-1),Q(3,4) and R(2,5). Find the equation of altitudes through P and Q and obtain the coordinate of their point of intersection.(This point is called ortho-centre of the triangle.)

MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. obtain the condition that the line lx+my+n=0 will touch the parabola y...

    Text Solution

    |

  2. Prove that the line 4x-2y-1=0 touches the parabola whose focus it at (...

    Text Solution

    |

  3. If (-2,0) and (2,0) are the two vertices of a triangle with perimeter ...

    Text Solution

    |

  4. A point in a plane is such that the sum of its distances from the poin...

    Text Solution

    |

  5. Obtain the equation of the elllipse which has its centre at origin a f...

    Text Solution

    |

  6. Find the equation of the ellipse which has its centre at (-1,4)b eccen...

    Text Solution

    |

  7. Find the equation of tangent and normal to the ellipse x^2/16+y^2/9=1 ...

    Text Solution

    |

  8. Find the equations of tangents and normals to the ellipse 2x^2+3y^2=6 ...

    Text Solution

    |

  9. Prove that the line y=2x+5 is a tangent to the ellipse 9x^2+4y^2=36 an...

    Text Solution

    |

  10. Find the equation of the tangent to the ellipse 4x^2+5y^2=20 which are...

    Text Solution

    |

  11. Find the equation of the tangent to the ellipse 4x^2+9y^2=1 which are ...

    Text Solution

    |

  12. Prove that the line xcosalpha+ysinalpha=p touches the ellipse(x^2/a^2+...

    Text Solution

    |

  13. Prove that the product of the distances of the foci from any tangent t...

    Text Solution

    |

  14. Find the equation of the hyperbola which has its foci at (0,0) and (0,...

    Text Solution

    |

  15. Find the equation of the hyperbola with foci at (+-3,0) and directrice...

    Text Solution

    |

  16. Find the foci and latus rectum of the hyperbola whose transverse and c...

    Text Solution

    |

  17. Find the equation of tangent and normal to the hyperbola x^2-6y^2=3 at...

    Text Solution

    |

  18. Find the equation of the tangent to the hyperbola 4x^2-11y^2=1 which a...

    Text Solution

    |

  19. Find the equation of tangents to hyperbola 9x^2-16y^2=144 which are pe...

    Text Solution

    |

  20. Prove that the line x + y + 2 = 0 touches the hyperbola 3x^2 - 5y^2 = ...

    Text Solution

    |