Home
Class 12
MATHS
The equation of a tangent to the para...

The equation of a tangent to the parabola `y^2=""8x""i s""y""=""x""+""2` . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is (1) `(-1,""1)` (2) `(0,""2)` (3) `(2,""4)` (4) `(-2,""0)`

A

`(-1,1)`

B

`(0,2)`

C

`(2,4)`

D

`(-2,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

Similar Questions

Explore conceptually related problems

The equation of a tangent to the parabola y^(2)=8x is y=x+2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

The equation of a tangent to the parabola y^(2)=12x is 2y+x+12=0. The point on this line such that the other tangent to the parabola is perpendicular to the given tangent is (a,b) then |a+b|=

The point on the line x-y+2=0 from which the tangent to the parabola y^(2)=8x is perpendicular to the given labe is (a,b), then the line ax+by+c=0 is

The equation of the tangent to the parabola y^(2)=16x, which is perpendicular to the line y=3x+7 is

Equation of tangent at the vertex of parabola x^(2)+8x+4y=0 is

MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

  5. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

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

    Text Solution

    |

  7. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

  8. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

    Text Solution

    |

  9. Statement-1: The slopw of the tangent at any point P on a parabola, wh...

    Text Solution

    |

  10. Statement 1 : The line x-2y=2 meets the parabola, y^2 + 2x = 0 only at...

    Text Solution

    |

  11. The point of intersection of the normals to the parabola y^2=4x at the...

    Text Solution

    |

  12. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

    Text Solution

    |

  13. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

    Text Solution

    |

  14. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

    Text Solution

    |

  15. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

    Text Solution

    |

  16. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  17. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

    Text Solution

    |

  18. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

    Text Solution

    |

  19. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  20. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

    Text Solution

    |