Home
Class 11
MATHS
The equation of a tangent to the parab...

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

A

(0, 2)

B

(2, 4)

C

(- 2,0)

D

(- 1, 1).

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

The equation of tangent in slope form to the the parabola y^2 = 4x is

The common tangent to the parabola y^2=4ax and x^2=4ay is

The equation of common tangent to the parabola y^2 =8x and hyperbola 3x^2 -y^2=3 is

The equation of the common tangents to the parabola y = x^2 and y=- (x - 2)^2 is/are :

Find the equations of the tangent and normal to the parabola y^2=4a x at the point (a t^2,2a t) .

Find the equations of the tangent and normal to the parabola y^2 = 4ax at the point (at^2, 2at)

Find the points on the curve 4x^2+9y^2=1 ,where the tangents are perpendicular to the line 2y+x=0

The equation of the common tangent to the curves , y^2=8x and xy=-1 is :

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

    Text Solution

    |

  2. Consider a family of circles which are passing through the point (-1,1...

    Text Solution

    |

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

    Text Solution

    |

  4. A hyperbola having the transverse axis of length 2sintheta, is confoca...

    Text Solution

    |

  5. For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1, whi...

    Text Solution

    |

  6. The perpendicular bisector of the line segment joining P(1,4) and Q (k...

    Text Solution

    |

  7. The point diametrically opposite to the point P(1,0) on the circle x^(...

    Text Solution

    |

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

    Text Solution

    |

  9. A focus of an ellipse Is that the rigin. The directrix is the line x=4...

    Text Solution

    |

  10. Consider three points : P (- sin (beta- alpha), - cos beta), Q = (cos...

    Text Solution

    |

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

    Text Solution

    |

  12. Let a and b be non-zero real numbers. Then the equation : (ax^2 + by^2...

    Text Solution

    |

  13. Consider a branch of the hyperbola : x^2 -2y^2-2sqrt2x-4sqrt2y-6=0 wit...

    Text Solution

    |

  14. Tangents drawn from the piont P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

    Text Solution

    |

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

    Text Solution

    |

  16. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  17. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  18. The normal at a point P, on the ellipse x^2+4y^2=16 meets the x-axis a...

    Text Solution

    |

  19. The locus of the orthocentre of the triangle formed by the lines : (1 ...

    Text Solution

    |

  20. An ellipse intersects the hyperbola 2x^2- 2y^2 = 1 orthogonally. The e...

    Text Solution

    |