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`. Show that c must be greater than 1/2. One normal is always the axis. Find c for which the other two normals are perpendicular to each other.

A

`(3)/(4)`

B

`(1)/(2)`

C

`(3)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Three normals are drawn from the point (c,0) to the curve y^2=x . Show that c must be greater than (1)/(2) . One normal is always the X-axis. Find c for which the other two normals are perpendicular to each other.

Three normals are drawn from the point (c,0) to the curve y^2=x . Show that c must be greater than 1/2 . One normal is always the x-axis. For what values of c are the other two normals perpendicular to each other

The normals are drawn from (2lamda,0) to the parabola y^2=4x .Show that lamda must be greater than 1. One normal is always the X-axis. Find lamda for which the other two normals are perpendicular to each other.

Three normals are drawn from the point (14,7) to the curve y^(2)-16x-8y=0. Find the coordinates of the feet of the normals.

three normals are drawn from the point (14,7) to the curve y^(2)-16x-8y=0. find the co- ordinates of the feet of the normals.

Three normals are drawn from the point (c,0) to the parabola y^(2)=x ,One normal is the x-axis .If the other two normal are perpendicular to each other.Then value of c is (a)/(b) where a and b are relative prime then a+b=

Three normals are drawn from the point (7, 14) to the parabola x^(2)-8x-16y=0. Find the coordinates of the feet of the normals.

Three normal are drawn to the curve y^(2)=x from a point (c, 0) . Out of three, one is always the x-axis. If two other normal are perpendicular to each other, then ‘c’ is:

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. Find the locus of the point of intersection of the normals at the end ...

    Text Solution

    |

  2. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

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

    Text Solution

    |

  4. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  5. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  6. The curve is given by x = cos 2t, y = sin t represents

    Text Solution

    |

  7. The vertex of the parabola y^(2) =(a-b)(x -a) is

    Text Solution

    |

  8. Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the...

    Text Solution

    |

  9. The length of a focal chord of the parabola y^(2) = 4ax at a distance...

    Text Solution

    |

  10. The point (a ,2a) is an interior point of the region bounded by the pa...

    Text Solution

    |

  11. If y+b=m1(x+a)and y+b=m2(x+a) are two tangents to the paraabola y^2=4a...

    Text Solution

    |

  12. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  13. If a circle intersects the parabola y^(2) = 4ax at points A(at(1)^(2),...

    Text Solution

    |

  14. If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP....

    Text Solution

    |

  15. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |

  16. If the chord of contact of tangents from a point P to the parabola y^2...

    Text Solution

    |

  17. The normal at any point P(t^(2), 2t) on the parabola y^(2) = 4x meets ...

    Text Solution

    |

  18. A ray of light moving parallel to x-axis gets reflected from a parabol...

    Text Solution

    |

  19. The vertex of the parabola y^2 = 8x is at the centre of a circle and t...

    Text Solution

    |

  20. The mirror image of the focus to the parabola 4(x + y) = y^(2) w.r.t....

    Text Solution

    |