Home
Class 12
MATHS
Three normals are drawn from the point (...

Three normals are drawn from the point (c, 0) to the curve `y^(2)=x`. If one of the normals is X-axis, then the value of c for which the other two normals are perpendicualr to each other is

A

`(1)/(4)`

B

`(1)/(2)`

C

`(3)/(4)`

D

`(5)/(8)`

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

Number of normals drawn through the point (8, 4) to the parabola y^(2)= 2x

The normals from (P, 0) are drawn to the para bolo y^(2) = 8x- , one of them is the axis. If the remaining two normals are perpendicular nnd the value or P.

The feet of the normals to y^(2)= 4ax from the point (6a,0) are

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. The equation of the tangent at the point (0, 3) on the circle which cu...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. int(dx)/((e^(x)+e^(-x))^(2))=

    Text Solution

    |