Home
Class 12
MATHS
The locus of the point of intersection o...

The locus of the point of intersection of two tangents to the parabola `y^(2)=4ax` which make complementary angles with the axis of the parabola is

A

x+y=0

B

z=a

C

y=a

D

x=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 Videos

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|13 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make the angles theta_(1) and theta_(2) with the axis so that cot theta_(1)+cot theta_(2) = k is

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make the angles theta_(1) and theta_(2) with the axis so that tan theta_(1) tan theta_(2) =k is

Locus of point of intersection of tangents to the circle x^(2)+y^(2)=a^(2) which makes complimentary angle with X axis is

The locus of the point of intersectio of the perpendicular tangents to the parabola x^(2)=4ay is

AAKASH SERIES-PARABOLA-EXERCISE- I
  1. The equation of the tangent to the parabola y^(2)=16x and perpendicul...

    Text Solution

    |

  2. The sum and product of the slopes of the tangents to the parabola y^(2...

    Text Solution

    |

  3. The locus of the point of intersection of two tangents to the parabola...

    Text Solution

    |

  4. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  5. Angle between tangents drawn at ends of focal chord of parabola y^(2) ...

    Text Solution

    |

  6. Point of intersection of tangents to the paraholu (y-2)^(2) = 4(x-1) a...

    Text Solution

    |

  7. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  8. The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

    Text Solution

    |

  9. Find the value of k if the line 2y=5x+k is a tangent to the parabola y...

    Text Solution

    |

  10. The equation of the tangent to the parabola y^(2)=8x and which is para...

    Text Solution

    |

  11. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

    Text Solution

    |

  12. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

    Text Solution

    |

  13. The locus of point of intersection of perpendicular tangents drawn to ...

    Text Solution

    |

  14. The point of intersection of tangents at the ends of Iatus rectum of t...

    Text Solution

    |

  15. The equation to the normal to the parabola x^(2) = 2y at (1, 2) is

    Text Solution

    |

  16. Assertion(A) : If the line x = 3y+k touches the parabola 3y^(2) = 4x t...

    Text Solution

    |

  17. The equation of the chord of the parabola y^(2)=2x having (1,1) as its...

    Text Solution

    |

  18. The point of intersection of the tangents at t(1) and t(2) to the para...

    Text Solution

    |

  19. If the tangents at t(1) and t(2) on y^(2)=4ax meet on the directrix th...

    Text Solution

    |

  20. If the tangents at and t(1) and t(2)= on y^(2)=4ax meets on its axis t...

    Text Solution

    |