Home
Class 11
MATHS
If y=2x+3 is a tangent to the parabola y...

If `y=2x+3` is a tangent to the parabola `y^2=24 x ,` then find its distance from the parallel normal.

A

`5sqrt5`

B

`10sqrt5`

C

`15sqrt5`

D

`3sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

if y=4x+3 is parallel to a tangent to the parabola y^2=12x , then its distance from the normal parallel to the given line is

If y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

If y=x+2 is normal to the parabola y^2=4a x , then find the value of a .

For what values of 'a' will the tangents drawn to the parabola y^2 = 4ax from a point, not on the y-axis, will be normal to the parabola x^2 = 4y.

If incident ray from point (-2,4) parallel to the axis of the parabola y^(2)=4x strikes the parabola, then find the equation of the reflected ray.

The equation of the tangent to the parabola y^(2)=8x and which is parallel to the line x-y+3=0 is

Find the equation of tangent to the parabola y^(2) = 16x which is a) parallel b) and perpendicular to the line 3x - 4y+5=0

Find the equation of the tangent to the parabola y^2 = 4x + 5 which is parallel to the straight line y= 2x+7

The area of triangle formed by tangent and normal at (8, 8) on the parabola y^(2)=8x and the axis of the parabola is

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. The equation of the tangent at the vertex of the parabola x^(2)+4x+2y=...

    Text Solution

    |

  2. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  3. If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...

    Text Solution

    |

  4. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

    Text Solution

    |

  5. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h.k...

    Text Solution

    |

  6. If the point P(4,-2) is one ends of the focal PQ of y^(2)=x, then the ...

    Text Solution

    |

  7. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

    Text Solution

    |

  8. The angle between the normals to the parabola y^(2)=24x at points (6, ...

    Text Solution

    |

  9. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

    Text Solution

    |

  10. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  11. The length of the subtangent to the parabola y^(2)=16x at the point wh...

    Text Solution

    |

  12. if P is a point on parabola y^2=4ax such that subtangents and subnorm...

    Text Solution

    |

  13. The normal to the parabola y^(2)=8ax at the point (2, 4) meets the par...

    Text Solution

    |

  14. The graph represented by x=sin^2t, y=2cost is

    Text Solution

    |

  15. The subtangent, ordinate and subnormal to the parabola y^2 = 4ax are i...

    Text Solution

    |

  16. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

    Text Solution

    |

  17. The equation of the parabola whose vertex is at(2, -1) and focus at(2,...

    Text Solution

    |

  18. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

    Text Solution

    |

  19. The vertex of the parabola y^2+6x-2y+13=0 is

    Text Solution

    |

  20. The Cartesian equation of the directrix of the parabola whose parametr...

    Text Solution

    |