Home
Class 11
MATHS
A set of parallel chords of the parabola...

A set of parallel chords of the parabola `y^2=4a x` have their midpoint on any straight line through the vertex any straight line through the focus a straight line parallel to the axis another parabola

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|41 Videos
  • JEE MAINS

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

The equations to the straight line through (a, b, c) parallel to the z -axis are

The equation of straight line passing through the point (a,b,c) and parallel to Z-axis, is:

Write the length of the chord of the parabola y^2=4a x which passes through the vertex and in inclined to the axis at pi/4 .

In the parabola y^(2) = 4ax , the length of the chord passing through the vertex and inclined to the x-axis at (pi)/(4) is

Find the equation to the straight line passing through the point (4, 3) and parallel to 3x+4y=12

Find the equation of the chord of the parabola y^(2)=8x having slope 2 if midpoint of the chord lies on the line x=4.

The straight line through the point of intersection of ax + by+c=0 and a'x+b'y+c'= 0 are parallel to the y-axis has the equation

If(a, b) is midpoint of a chord passing through the vertex of the parabola y^(2)=4x then

Find the equation of the straight lines passing through the origin making an angle alpha with the straight line y=mx+c .

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is

RESONANCE DPP ENGLISH-CONIC SECTIONS-All Questions
  1. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  2. The tangent at the point P on the rectangular hyperbola x y=k^2 with C...

    Text Solution

    |

  3. If L1&L2 are the lengths of the segments of any focal chord of th...

    Text Solution

    |

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

    Text Solution

    |

  5. For hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)beta)=1 which of ...

    Text Solution

    |

  6. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

    Text Solution

    |

  7. If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , the...

    Text Solution

    |

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

    Text Solution

    |

  9. A rhombus is formed by two radii and two chords of a circle whose r...

    Text Solution

    |

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

    Text Solution

    |

  11. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  12. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

    Text Solution

    |

  13. Find the locus of the point of intersection of the perpendicular ta...

    Text Solution

    |

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

    Text Solution

    |

  15. The locus of the midpoint of the line segment joining the focus to a ...

    Text Solution

    |

  16. The equation to the chord joining two points (x1,y1)a n d(x2,y2) on th...

    Text Solution

    |

  17. The locus of the point of intersection of the tangents at the extre...

    Text Solution

    |

  18. Let us consider an ellipse whose major and minor axis are 3x+4y-7=0 an...

    Text Solution

    |

  19. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  20. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |