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

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) `2x""+""1""=""0` (2) `x""=""1` (3) `2x""""1""=""0` (4) `x""=""1`

A

x=1

B

2x + 1=0

C

x= -1

D

`2x - 1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MOTION|Exercise EXERCISE - III|25 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

Similar Questions

Explore conceptually related problems

If two tangents drawn from a point P to the parabola y^(2)=16 (x-3) are at right angles, then the locus of point P is :

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)2x+1=0(b)x=-1(c)2x-1=0(d)x=1

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

The angle between tangents drawn from a point P to the circle x^2+y^2+4x-2y-4=0 is 60^@ Then locus of P is

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is

MOTION-PARABOLA-EXERCISE - IV
  1. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  2. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

  3. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  4. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

    Text Solution

    |

  5. The equation to the line touching both the parabolas y^2 =4x and x^2=...

    Text Solution

    |

  6. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  7. Let , P be the point on the parabola y^(2) = 8x which is at a min...

    Text Solution

    |

  8. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

    Text Solution

    |

  9. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

    Text Solution

    |

  10. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  11. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  12. The equations of the common tangents to the parabola y = x^2 and y=-...

    Text Solution

    |

  13. Match the following. Normals are drawn at points P Q and R lying on th...

    Text Solution

    |

  14. Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to th...

    Text Solution

    |

  15. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  16. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  17. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  18. The tangent and normal at P(t), for all real positive t, to the parabo...

    Text Solution

    |

  19. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

    Text Solution

    |

  20. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

    Text Solution

    |