Home
Class 12
MATHS
If two tangents to the parabola y^(2)=8x...

If two tangents to the parabola `y^(2)=8x` meet the tangent at its vertex in M and N such that MN = 4, then the locus of the point of intersection of those two tangents is

A

`y^(2)=8(x+3)`

B

`y^(2)=8(x-2)`

C

`y^(2)=8(x+2)`

D

`y^(2)=4(x+2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the tangent at the Vertex A in P and the rectangle TAPQ is completed then locus of Q is

Point on the parabola y^(2)=8x the tangent at which makes an angle (pi)/(4) with axis is

If the distances of two points P and Q on the parabola y^(2) = 4ax from the focus of a parabola are 4 and 9 respectively then the distance of the point of intersection of tangents at P and Q from the focus is

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. The centre of the circle passing through the point (1,0) and cutting t...

    Text Solution

    |

  2. The equation of the tangent at the point (0, 3) on the circle which cu...

    Text Solution

    |

  3. If two tangents to the parabola y^(2)=8x meet the tangent at its verte...

    Text Solution

    |

  4. Three normals are drawn from the point (c, 0) to the curve y^(2)=x. If...

    Text Solution

    |

  5. If the normal drawn at one end of the latus rectum of the ellipse b^(2...

    Text Solution

    |

  6. A variable tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ma...

    Text Solution

    |

  7. If the eccentricity of a conic satisfies the equation 2x^(3)+10x-13=0,...

    Text Solution

    |

  8. Assertion (A) If (-1, 3, 2) and (5, 3, 2) are respectively the orthoce...

    Text Solution

    |

  9. The lines whose direction cosines are given by the relations al+bm+cn=...

    Text Solution

    |

  10. If the plane passing through the points (1, 2, 3), (2, 3, 1) and (3, 1...

    Text Solution

    |

  11. underset(x to -oo)lim(3|x|-x)/(|x|-2x)-underset(xto0)lim(log(1+x^(3)))...

    Text Solution

    |

  12. If f(x)={{:((x-2)/(|x-2|)+a,x lt 2),(a+b,x=2),((x-2)/(|x-2|)+b,x gt 2)...

    Text Solution

    |

  13. If f(x)={{:((x^(2)log(cosx))/(log(1+x^(2))),x ne 0),(0,x = 0):}, then ...

    Text Solution

    |

  14. Match the items given in List-I with those of the items of List - II ...

    Text Solution

    |

  15. If y=((sin^(-1)x)^(2))/(2), then (1-x^(2))y(2)-xy(1)=

    Text Solution

    |

  16. If the relative errors in the base radius and the height of a cone are...

    Text Solution

    |

  17. The normal at a point theta to the curve x=a(1+cos theta),y=a sin thet...

    Text Solution

    |

  18. Let f(x) be continuous on [0, 6] and differentiable on (0, 6). Let f(0...

    Text Solution

    |

  19. If (alpha,beta) and (gamma,delta) where alpha lt gamma, are the turnin...

    Text Solution

    |

  20. The height of a cylinder of the greatest volume that can be inscribed ...

    Text Solution

    |