Home
Class 12
MATHS
Two tangents to the parabola y^2=4ax mak...

Two tangents to the parabola `y^2=4ax` make supplementary angles with the x-axis. Then the locus of their point of intersection is

Text Solution

Verified by Experts

The correct Answer is:
ac
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Two tangents to the parabola y^(2)=4ax make angles theta_(1),theta_(2) with the x -axis.Then the locus of their point of intersection if cot theta_(1)+cot theta_(2)=c is

Two tangents to parabola y ^(2 ) = 4ax make angles theta and phi with the x-axis. Then find the locus of their point of intersection if sin (theta - phi) =2 cos theta cos phi.

If the tangents to the parabola y^(2)=4ax make complementary angles with the axis of the parabola then t_(1),t_(2)=

the abscissae of any two points on the parabola y^(2)=4ax are in the ratio u:1. prove that the locus of the point of intersection of tangents at these points is y^(2)=(u^((1)/(4))+u^(-((1)/(4))))^(2)ax

9.(i) Two tangents to a parabola y24ax meet at an angle of 45. Prove that the locus of their point of th guadrilntoral whose vortices lie at the pints of intersection of the parabola intersection is the curve y 2-4ax=(x+a)2

A tangent to the parabola y^(2)=4ax meets axes at A and B .Then the locus of mid-point of line AB is

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two tangents to the parabola y^2=4ax make supplementary angles with th...

    Text Solution

    |

  2. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |

  3. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  4. The axis of parabola is along the line y=x and the distance of its ver...

    Text Solution

    |

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

    Text Solution

    |

  6. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

    Text Solution

    |

  7. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Statement I The curve y = x^2/2+x+1 is symmetric with respect to the l...

    Text Solution

    |

  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  13. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

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

    Text Solution

    |

  15. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

    Text Solution

    |

  19. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  20. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  21. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |