Home
Class 12
MATHS
Through the vertex ' O^(prime) of the p...

Through the vertex `' O^(prime)` of the parabola `y^2=4a x ,` variable chords `O Pa n dO Q` are drawn at right angles. If the variable chord `P Q` intersects the axis of `x` at `R` , then distance `O R :` (a)equals double the perpendicular distance of focus from the directrix. (b)equal the semi latus rectum of the parabola (c)equals latus rectum of the parabola (d)equals double the latus rectum of the parabola

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Through the vertex O of the parabola y^(2)=4ax, variable chords O Pand OQ are drawn at right angles.If the variables chord PQ intersects the axis of x at R, then distance OR

Find the coordinates of the focus,axis,the equation of the directrix and latus rectum of the parabola y^(2)=8x

Prove that the semi-latus rectum of the parabola y^(2) = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

Find vertex, focus, directrix and latus rectum of the parabola y^(2)+4x+4y-3=0 .

Prove that the semi-latus rectum of the parabola y^2 = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

Find the co-operate of the focus, the equation of the directrix and latus rectum of the parabola y^(2) = 20x .

Find the vertex,focus,directrix,axis and latus-rectum of the parabola y^(2)=4x+4y

Find the equations of the normals at the ends of the latus-rectum of the parabola y^(2)=4ax Also prove that they are at right angles on the axis of the parabola.

Find the vertex, focus, directrix and length of the latus rectum of the parabola y^2 - 4y-2x-8=0

Find the coordinates of the focus and the vertex, the equations of the directix and the axis, and the lendth of the latus rectum of the parabola y^(2)=8x

RESONANCE DPP-JEE MAINS-All Questions
  1. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

    Text Solution

    |

  2. In [0,1] Lagranges Mean Value theorem in NOT applicable to f(x)={1/2...

    Text Solution

    |

  3. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable c...

    Text Solution

    |

  4. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i...

    Text Solution

    |

  5. If omega is an imaginary cube root of unity, then the value of (p+q)^...

    Text Solution

    |

  6. If f(x)=1/x^2int4^x(4t^2-2f'(t)) dt, then f'(4) is equal to:

    Text Solution

    |

  7. The value of (lim)(nvecoo)((a+1+b n)/a)^n ; a ,b >0,a n dn in N i...

    Text Solution

    |

  8. If A is the set of even natural number less than 8 and B is the set of...

    Text Solution

    |

  9. If z and w are two complex number such that |z w|=1 and a rg(z)-a rg(...

    Text Solution

    |

  10. A parabola with vertex (2, 0) and axis of symmetry parallel to the ...

    Text Solution

    |

  11. int(pi/4)^((3pi)/4)x/(1+sinx)dx

    Text Solution

    |

  12. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

    Text Solution

    |

  13. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

    Text Solution

    |

  14. If the ratio of the roots of the equation, x^2+alphax+alpha+2=0 is ...

    Text Solution

    |

  15. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  16. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  17. Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 ...

    Text Solution

    |

  18. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not e...

    Text Solution

    |

  19. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  20. If sum(k=1)^(k=n)tan^(- 1)(2k)/(2+k^2+k^4)=tan^(- 1)(6/7), then the va...

    Text Solution

    |