Home
Class 12
MATHS
If two different tangents of y^2 = 4x ar...

If two different tangents of `y^2 = 4x` are the normals to the parabola `x^2 = 4ay` then :

A

`|a|gt1/(2sqrt2)`

B

`|a|lt1/(2sqrt2)`

C

`|a|gt1/(sqrt2)`

D

`|a|lt1/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE)|4 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS)|5 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|5 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

If two different tangents of y^(2) = 4x are the normals to x^(2) = 4 by then :

If two different tangents of y^(2)=4x are the normals to x^(2)=4by, then (a) |b|>(1)/(2sqrt(2)) (b) |b| (1)/(sqrt(2))(d)|b|<(1)/(sqrt(2))

If x=my+c is a normal to the parabola x^(2)=4ay , then the value of c, is

If from a point A,two tangents are drawn to parabola y^(2)=4ax are normal to parabola x^(2)=4by, then

If the tangent to the curve y= e^x at a point (c, e^c) and the normal to the parabola, y^2 = 4x at the point (1,2) intersect at the same point on the x-axis then the value of c is ____________.

If the tangents at the extremities of a focal chord of the parabola x^(2)=4ay meet the tangent at the vertex at points whose abcissac are x_(1) and x_(2) then x_(1)x_(2)=

The equation of the normal to the parabola, x^(2)=8y " at " x=4 is

ML KHANNA-THE PARABOLA -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

    Text Solution

    |

  2. If the point (at^2,2at) be the extremity of a focal chord of parabola ...

    Text Solution

    |

  3. A triangle ABC of area Delta is inscribed in the parabola y^2 = 4ax s...

    Text Solution

    |

  4. The locus of the middle points of the focal chord of the parabola y^(2...

    Text Solution

    |

  5. The locus of the poles of focal chords of the parabola y^2 = 4ax is

    Text Solution

    |

  6. A focal chord of parabola y^(2)=4x .is inclined at an angle of (pi)/(4...

    Text Solution

    |

  7. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

    Text Solution

    |

  8. Find the locus of the mid-points of the chords of the parabola y^2=4ax...

    Text Solution

    |

  9. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

    Text Solution

    |

  10. If the normals any point to the parabola x^(2)=4y cuts the line y = 2 ...

    Text Solution

    |

  11. The locus of the mid-points of the portion of the normal to the parabo...

    Text Solution

    |

  12. Through the vertex O of a parabola y^2 = 4x chords OP and OQ are draw...

    Text Solution

    |

  13. Tangents are drawn from any point on the line x + 4a=0 to the parabola...

    Text Solution

    |

  14. A is a point on the parabola y^2 = 4ax The normal at A cuts the parabo...

    Text Solution

    |

  15. The length of the normal chord to the parabola y^2 = 4x which subtends...

    Text Solution

    |

  16. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  17. The locus of point of intersection of two normals drawn to the parabol...

    Text Solution

    |

  18. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

    Text Solution

    |

  19. If two different tangents of y^2 = 4x are the normals to the parabola...

    Text Solution

    |

  20. For y^2 = 4x, pormals at P, Q, Rare concurrent at a point (3,0), then...

    Text Solution

    |