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

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 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

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

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

    Text Solution

    |

  14. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

    Text Solution

    |

  15. Let PQ be a focal chord of the parabola y^2 = 4ax The tangents to the ...

    Text Solution

    |

  16. The slope of the line touching the parabolas y^2=4x and x^2=-32y is

    Text Solution

    |

  17. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

    Text Solution

    |

  18. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

    Text Solution

    |

  19. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

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

    Text Solution

    |