Home
Class 11
MATHS
Find the angle at which normal at point ...

Find the angle at which normal at point `P(at^(2),2at)` to the parabola `y^(2)=4ax` meets the parabola again at point Q.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the angle at which normal at point P(a t^2,2a t) to the parabola meets the parabola again at point Qdot

Prove that the normal at (am^(2),2am) to the parabola y^(2)=4ax meets the curve again at an angle tan^(-1)((1)/(2)m) .

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at the point-

If the normal at the point ( bt_(1)^(2), 2 bt_(1)) to the parabola y^(2)= 4bx meets it again at the point ( bt_(2)^(2), 2 bt_(2)) , then-

Prove that the normals at the points (1,2) and (4,4) of the parbola y^(2)=4x intersect on the parabola.

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Qa n dR , then find the midpoint of chord Q Rdot

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

The point (8,4) lies inside the parabola y^(2) = 4ax If _

If the tangent at any point P to the parabola y^(2)=4ax meets the directrix at the point K , then the angle which KP subtends at its focus is-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If two tangents drawn from the point (alpha,beta) to the parabola y^(2...

    Text Solution

    |

  2. Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

    Text Solution

    |

  3. Find the angle at which normal at point P(at^(2),2at) to the parabola ...

    Text Solution

    |

  4. If tangents are drawn to y^(2)=4aax from any point P on the parabola y...

    Text Solution

    |

  5. Find the equation of a parabola having its focus at S(2,0) and one ext...

    Text Solution

    |

  6. Find the equation of parabola having focus at (0,-3) its directrix ...

    Text Solution

    |

  7. Find the equation of parabola (i) having its vertex at A(1,0) and fo...

    Text Solution

    |

  8. A beam is supported at its ends by supports which are 12 metres apa...

    Text Solution

    |

  9. Find the coordinates of points on the parabola y^2=8x whose focal dist...

    Text Solution

    |

  10. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find t...

    Text Solution

    |

  11. An arch is in the from of a parabola with its axis vertical. The arch ...

    Text Solution

    |

  12. If the vertex of a parabola is the point (-3,0) and the directrix is t...

    Text Solution

    |

  13. The chord A B of the parabola y^2=4a x cuts the axis of the parabola a...

    Text Solution

    |

  14. Prove that the chord ysqrt(2)x+4asqrt(2)=0 is a normal chord of the pa...

    Text Solution

    |

  15. Find the point on the curve y^2=a x the tangent at which makes an angl...

    Text Solution

    |

  16. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

    Text Solution

    |

  17. Find the points of contact Q and R of tangents from the point P (2,3) ...

    Text Solution

    |

  18. Two straight lines (y-b) =m(1)(x+a)and(y-b)=m(2)(x+a) are the tangents...

    Text Solution

    |

  19. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

    Text Solution

    |

  20. Tangents are drawn from the point (-1,2) on the parabola y^(2)=4x. Fin...

    Text Solution

    |