Home
Class 12
MATHS
If two tangents drawn from a point p to ...

If two tangents drawn from a point p to the parabola `y^(2)=4x` are at right angles then the locus of p is

A

`x-1=0`

B

`2 x+1=0`

C

`x+1=0`

D

`2 x-1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos
  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

Angle between tangents drawn from the point (1,4) to the parabola y^(2)=4x is

The tangents from the point (-2,5) to the parabola y^(2)=8 x are inclined at an angle

The tangents from the origin to the parabola y^(2)=4(x-1) are inclined at an angle

Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 x . If alpha is the angle between these tangents, then tan alpha=

Two tangents are drawn from the point (h, k) to the parabola y^(2)=4 x, such that the slope of one tangent is twice the other, then

The angle between the two tangents drawn from the point (1,4) to the parabola y^(2)=12 x is

The tangent drawn at any point P to the parabola y^(2)=4 a x meets the directrix at the point K, then the angle which K P subtends at its focus is

If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=1 are at right angles then lambda is

The number of tangents that can be drawn from (3,2) to the parabola y^(2)=4 x are

The point on the parabola y^(2)=16 x where the tangent makes an angle 60^(circ) with the x -axis is

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. The tangents drawn at the extremities of a focal chord of the parabol...

    Text Solution

    |

  2. A parabola has its focus at (-4,0) and its directrix is x=4 . Its equa...

    Text Solution

    |

  3. If two tangents drawn from a point p to the parabola y^(2)=4x are at r...

    Text Solution

    |

  4. If y=2 x+k is a tangent to y^(2)=8 x, then k=

    Text Solution

    |

  5. The equation of the parabola whose vertex is (1,-2) and focus is (1,-1...

    Text Solution

    |

  6. Focus of the parabola (y-2)^(2)=20(x+3) is

    Text Solution

    |

  7. Two perpendicular tangents to y^(2)=4 a x always intersect on the line

    Text Solution

    |

  8. Equation of the tangent at (-4,-4) " on " x^(2) = -4y is

    Text Solution

    |

  9. The vertex of the parabola (y-2)^(2) = 16(x-1) is

    Text Solution

    |

  10. Equation of the parabola with its vertex at (1,1) and focus (3,1) is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If(0, 6) and (0,3) are respectively the vertex & focus of a parabola t...

    Text Solution

    |

  14. The equation of the line which is tangent to both the circle x^(2)+y^(...

    Text Solution

    |

  15. The equation of the line which is a tangent to both the circle x^(2)+y...

    Text Solution

    |

  16. The directrix of the parabola x^(2)-4x-8y+12=0

    Text Solution

    |

  17. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  18. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  19. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

    Text Solution

    |

  20. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

    Text Solution

    |