Home
Class 11
MATHS
The equation of the parabola whose verte...

The equation of the parabola whose vertex is `(a ,0)` and the directrix has the equation `x+y=3a` is a.`x^2+y^2+2x y+6a x+10 a y+7a^2=0` b.`x^2-2x y+y^2-6a x+10 a y+7a^2=0` c.`x^2-2x y+y^2+6a x+10 a y+7a^2=0` d.None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|56 Videos

  • PERMUTATIONS

    RD SHARMA ENGLISH|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

The equation of the parabola whose focus is (1,-1) and the directrix is x+y+7=0 is (a) x^2+y^2-2x y-18 x-10 y=0 (b) x^2+y^2-18 x-10 y-45=0 (c) x^2-18 x-10 y-45=0 (d) x^2+y^2-2x y-18 x-10 y-45=0

The vertex of the parabola y^2+6x-2y+13=0 is

The equation of the parabola with focus (0,0) and directrix x+y=4 is a. x^2+y^2-2x y+8x+8y-16=0 b. x^2+y^2+8x+8y-16=0 c. x^2+y^2-2x y+8x+8y=0 d. x^2-y^2+8x+8y-16=0

Equation of the parabola with focus (0,-3) and the directrix y=3 is: (a) x^(2)=-12y (b) x^(2)=12y (c) x^(2)=3y (d) x^(2)=-3y

The equation of the ellipse with focus (-1,1) directrix x-y+3=0 and eccentricity is a. 7x^2+2x y+7y^2+10 x+10 y+7=0 b. 7x^2+2x y+7y^2+10 x-10 y+7=0 c. 7x^2+2x y+7y^2+10 x-10 y+7=0 d. None of these

The equation of the ellipse whose focus is (1, -1) , directrix is the line x-y-3=0 and eccentricity is 1/2 , is: (A) 7x^2 + 2xy + 7y^2 + 7 = 0 (B) 7x^2 + 2xy+7y^2 + 10x - 10y - 7 = 0 (C) 7x^2 + 2xy + 7y^2 - 10x + 10y + 7 = 0 (D) none of these

Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

Find the lines whose combined equation is 6x^2+5x y-4y^2+7x+13 y-3=0

Find the angle between the circles given by the equations. x^2 + y^2 + 6x - 10y - 135 = 0, x^2 + y^2 - 4x+14y - 116 = 0

The circles x^2 + y^2 + 6x + 6y = 0 and x^2 + y^2 - 12x - 12y = 0

RD SHARMA ENGLISH-PARABOLA-All Questions
  1. The coordinates of the focus of the parabola y^2-x-2y+2=0 are a. (5/4...

    Text Solution

    |

  2. The vertex of the parabola (y+a)^2=8a(x-a) is a.(-a ,-a) b. (a ,-a) c....

    Text Solution

    |

  3. If the focus of a parabola is (-2,1) and the directrix has the equatio...

    Text Solution

    |

  4. The equation of the parabola whose vertex is (a ,0) and the directrix ...

    Text Solution

    |

  5. The parametric equations of a parabola are x=t^2+1, y=2t+1. The Cartes...

    Text Solution

    |

  6. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  7. The locus of the points of trisection of the double ordinates of a ...

    Text Solution

    |

  8. The equation of the directrix of the parabola whose vertex and focus a...

    Text Solution

    |

  9. If V and S are respectively the vertex and focus of the parabola y^2+6...

    Text Solution

    |

  10. The directrix of the parabola x^2-4x-8y + 12=0 is

    Text Solution

    |

  11. The equation of the parabola with focus (0,0) and directrix x+y=4 is a...

    Text Solution

    |

  12. The line 2x−y+4=0 cuts the parabola y^2=8x in P and Q. The mid-point o...

    Text Solution

    |

  13. In the parabola y^2=4a x , the length of the chord pasing through the ...

    Text Solution

    |

  14. The equation 16 x^2+y^2+8x y-74 x-78 y+212=0 represents a. a circle b....

    Text Solution

    |

  15. The length of the latus rectum of the parabola y^2+8x-2y+17=0 is a.2 b...

    Text Solution

    |

  16. The vertex of the parabola (y-2)^2=16(x-1) is a.(1,2) b.(-1,2) c. (1,-...

    Text Solution

    |

  17. The length of latus rectum of the parabola 4y^2+2x−20y+17=0 is (a) 3 (...

    Text Solution

    |

  18. The focus of the parabola y=2x^2+x is a.(0,0) b. (1//2,1//4) c. (-1//2...

    Text Solution

    |

  19. Which of the following points lie on the parabola x^2=4a y ? a.x=a t^...

    Text Solution

    |

  20. The equation of the parabola whose focus is (1,-1) and the directrix i...

    Text Solution

    |