Home
Class 12
MATHS
From a point (d, 0) three normals are dr...

From a point (d, 0) three normals are drawn to the parabola `y^(2)=x`, then

A

`d=(1)/(2)`

B

`d gt (1)/(2)`

C

`d lt (1)/(2)`

D

`d=(1)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then the value of a is

From the point (-1, -6) two tangents are drawn to the parabola y^(2)= 4x . Then the angle between the tangents is-

If three normals are drawn from the point (c, 0) to the parabola y^(2)= x , then-

In parabola y^2=4x , From the point (15,12), three normals are drawn then centroid of triangle formed by three Co normal points is

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then the locus of Pdot is a) a cicle b) a parabola c) a straight line d) none of these

Prove that the the middle points of the normal chords of the parabola y^(2)=4ax is on the curve (y^(2))/(2a)+(4a^(3))/(y^(2))=x-2a

Find the locus of the point from which the two tangents drawn to the parabola y^2=4a x are such that the slope of one is thrice that of the other.

The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h,k) of points satisfying

If two of the three feet of normals drawn from a point to the parabola y^2=4x are (1, 2) and (1,-2), then find the third foot.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching x...

    Text Solution

    |

  2. Two tangents to the circle x^(2)+y^(2)=4 at the points A and B meet a...

    Text Solution

    |

  3. From a point (d, 0) three normals are drawn to the parabola y^(2)=x, t...

    Text Solution

    |

  4. If from a point P(a, b, c), perpendiculars PA and PB are drawn to YZ a...

    Text Solution

    |

  5. The co-ordinate of a point on the auxiliary circle of the ellipse x^(2...

    Text Solution

    |

  6. The locus of the center of a variable circle which always touches two ...

    Text Solution

    |

  7. A line with positive direction cosines passes through the point P(2, -...

    Text Solution

    |

  8. For y=sin^(-1){(5x+12sqrt(1-x^(2)))/(13)}, |x| le 1, if a(1-x^(2))y(2...

    Text Solution

    |

  9. f(x) is real valued function such that 2f(x) + 3f(-x) = 15 - 4x for a...

    Text Solution

    |

  10. Consider the functions f(1)(x)=x,f(2)(x)=2+log(e )x, x gt 0. The graph...

    Text Solution

    |

  11. The equation 6^(x)+8^(x)=10^(x) has

    Text Solution

    |

  12. Let f:D to R where D=[0,1] cup [2, 4] be defined by f(x)={(x",","if ...

    Text Solution

    |

  13. Let f(x) be a continuous periodic function with period T. Let I= int(a...

    Text Solution

    |

  14. If b=int(0)^(1) (e^(t))/(t+1)dt, then int(a-1)^(a) (e^(-t))/(t-a-1) is

    Text Solution

    |

  15. The differential of f(x)=log(e ) (1+e^(10x))-tan^(-1) (e^(5x)) at x = ...

    Text Solution

    |

  16. Given that f: S to R is said to have a fixed point at c of S if f(c )...

    Text Solution

    |

  17. The lim(x to oo) ((3x-1)/(3x+1))^(4x) equals

    Text Solution

    |

  18. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

    Text Solution

    |

  19. If a(vecalpha xx vecbeta) + b(vecbeta xx vecgamma) +c(vecgamma xx veca...

    Text Solution

    |

  20. If the tangent at the point P with co-ordinates (h, k) on the curve y^...

    Text Solution

    |