Home
Class 11
MATHS
If the segment intercepted by the parabo...

If the segment intercepted by the parabola `y=4a x` with the line `l x+m y+n=0` subtends a right angle at the vertex, then `4a l+n=0` (b) `4a l+4a m+n=0` `4a m+n=0` (d) `a l+n=0`

A

4 al+ n =0

B

4al+4am +n =0

C

4am+n=0

D

al+n=0

Text Solution

Verified by Experts

The correct Answer is:
A
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 the segment intercepted by the parabola y^2=4a x with the line l x+m y+n=0 subtends a right angle at the vertex, then 4a l+n=0 (b) 4a l+4a m+n=0 4a m+n=0 (d) a l+n=0

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

If the line l x+m y+n=0 touches the parabola y^2=4a x , prove that ln=a m^2

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

If the line l x+m y+n=0 touches the circle x^2+y^2=a^2 , then prove that (l^2+m^2)a^2=n^2dot

Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at the vertex of the parabola. Then the tangents drawn to the parabola at A .and B will intersect at (a) (-4a ,0) (b) (-2a ,0) (-3a ,0) (d) none of these

The direction cosines l, m and n of two lines are connected by the relations l+m+n=0 and lm=0 , then the angle between the lines is

Show that the lines lx+my+n=0, mx+ny+l=0 and nx+ly+m=0 are concurrent if l+m+n=0

OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. The length of the latus rectum of the parabola whose focus is ((u^2)/(...

    Text Solution

    |

  2. PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of it...

    Text Solution

    |

  3. If the segment intercepted by the parabola y=4a x with the line l x+m ...

    Text Solution

    |

  4. The length of a focal chord of the parabola y^2=4ax making an angle th...

    Text Solution

    |

  5. Show that the parametric point (2+t^(2),2t+1) represents a parabola. S...

    Text Solution

    |

  6. The ratio in which the line segment joining the point (4, -6) and (3, ...

    Text Solution

    |

  7. If (a , b) is the midpoint of a chord passing through the vertex of th...

    Text Solution

    |

  8. If the vertex and focus of a parabola are (3,3) and (-3,3) respectivel...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. If y(1),y(2) are the ordinates of two points P and Q on the parabola ...

    Text Solution

    |

  11. If the line x + y = 1 touches the parabola y^2-y + x = 0, then the coo...

    Text Solution

    |

  12. Find the locus of the foot of the perpendiculars drawn from the vertex...

    Text Solution

    |

  13. Equation of line touching both the parabolas y^2=4x & x^2=-32y

    Text Solution

    |

  14. If t is the parameter for one end of a focal chord of the parabola y^2...

    Text Solution

    |

  15. Find the equation of normal to the parabola y^2=4axat point (at^2, 2at...

    Text Solution

    |

  16. Normal at the point P(a p^2,2a p) meets the parabola y^2=4a x again at...

    Text Solution

    |

  17. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

    Text Solution

    |

  18. The two parabolas y^(2)=4x" and "x^(2)=4y intersect at a point P, whos...

    Text Solution

    |

  19. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

    Text Solution

    |

  20. Find the point on the curve y^(2)=ax the tangent at which makes an ang...

    Text Solution

    |