Home
Class 11
MATHS
The line 2x−y+4=0 cuts the parabola y^2=...

The line `2x−y+4=0` cuts the parabola `y^2=8x` in `P and Q`. The mid-point of PQ is (a) `(1,2)` (b) `(1,-2)` (c) `(-1,2)` (d) `(-1,-2)`

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

if the line 4x +3y +1=0 meets the parabola y^2=8x then the mid point of the chord is

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is (a) (2,0) (b) (2,1) (c) (1,0) (d) (1,2)

If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then one of the values of k is (a) 1/8 (b) 8 (c) 4 (d) 1/4

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

The normal at P(8, 8) to the parabola y^(2) = 8x cuts it again at Q then PQ =

The line y = x + 1 is a tangent to the curve y^2=4x at the point(A) (1, 2) (B) (2, 1) (C) (1, 2) (D) ( 1, 2)

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

    |