Home
Class 12
MATHS
If a tangent to the parabola y^2 = ax ma...

If a tangent to the parabola `y^2 = ax` makes an angle `45^@` with x-axis, its point of contact will be

A

`(a//2, a//4)`

B

`(-a//2,a// 4)`

C

`(a// 4, a//2)`

D

`(-a//4, a//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|1 Videos

  • THE PARABOLA

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

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|2 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

The equation of a tangent to the parabola y^(2)=8x which makes an angle 45^(@) with the line y = 3x + 5 is

A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the straight line y=3x+5 Then points of contact are.

A tangent to the parabola y^(2)=8x makes an angle of 45^(@) with the straight line y=3x+5 Then find one of the points of contact.

A tangent to the parabola y^(2) = 8x makes an angle of 45^(@) with the straight line y = 3x + 5 . Find its equation and its point of contact.

If the normal chord of the parabola y^(2)=4 x makes an angle 45^(@) with the axis of the parabola, then its length, is

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

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

Find the equation of tangent to the parabola y^(2)=16x inclined at an angle 60^(@) with its axis and also find the point of contact.

If the line Ix+my+n=0 is a tangent to the parabola y^(2)=4ax, then locus of its point of contact is:

ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Two straight lines are perpendicular to each other. One of them touche...

    Text Solution

    |

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

    Text Solution

    |

  3. If a tangent to the parabola y^2 = ax makes an angle 45^@ with x-axis,...

    Text Solution

    |

  4. The point on the curve y^2 = x, the tangent at which makes an angle 45...

    Text Solution

    |

  5. The portion of a tangent to a parabola cut off between the directrix a...

    Text Solution

    |

  6. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

    Text Solution

    |

  7. If y = mx +c touches the parabola y^2 = 4a(x+ a), then

    Text Solution

    |

  8. The focal chord of y^2 = 16x is tangent to (x-6)^2 + y^2 = 2, then the...

    Text Solution

    |

  9. The locus of point from which the two tangents drawn to a parabola be ...

    Text Solution

    |

  10. If the chord of contact of tangents from a point P to the parabola y^...

    Text Solution

    |

  11. Tangents are drawn from the point P to the parabola y^2=8x such that ...

    Text Solution

    |

  12. Two tangents are drawn from the point (-2, – 1) to the parabola y^2 =...

    Text Solution

    |

  13. If y+3= m1 (x+2) and y+3= m2 (x+2) are two tangents to the parabola y...

    Text Solution

    |

  14. The equations of common tangent to the parabola y^2 = 4ax and x^2 = 4b...

    Text Solution

    |

  15. If the line x+y=1 touches the parabola y^2 - y+x=0, then the co-ordina...

    Text Solution

    |

  16. The point of intersection of the tangents at the ends of the latus re...

    Text Solution

    |

  17. The equation of tangents to the parabola y^2 = 4ax at the ends of latu...

    Text Solution

    |

  18. Two tangents of the parabola y^2 = 8x, meet the tangent at its vertex ...

    Text Solution

    |

  19. If the tangent at the point P (2,4) to the parabola y^2 = 8x meets the...

    Text Solution

    |

  20. The locus of the point of intersection of tangents to the parabola y^2...

    Text Solution

    |