Home
Class 12
MATHS
If a circle cuts a parabola in four poin...

If a circle cuts a parabola in four points then the sum of ordinates of four points is

A

1

B

`-1`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

If a circle cuts a parabola in four points show that sum of ordinates of four points is zero.

If a circle intercepts the ellipse at four points, show that the sum of the eccentric angles of these points is an even multiple of pi

The sum of four angles of a quadrilateral is

The sum of the ordinates of two points on y(2)=4ax is equal to the sum of the ordinates of two other points on the same curve. Show that the chord joining the first two points is parallel to the chord joining the other two points.

If the line 2x+3y+1=0, 3x+2y-1=0 intersect the coordinate axes in fourc concyclic points then the equation of the circle passing through these four points is

If y_(1),y_(2) are the ordinates of two points P and Q on the parabola and y_(3) is the ordinate of the point of intersection of tangents at P and Q then

The vertex of the parabola (y-1)^2 =8 (x-1) is at the centre of a circle and the parabola cuts that circle at the ends of its latusrectum. Then the equation of that circle is

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. Number of points of intersectionsof circle x^(2)+y^(2)+2x=0 with y^(2)...

    Text Solution

    |

  2. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

    Text Solution

    |

  3. If a circle cuts a parabola in four points then the sum of ordinates o...

    Text Solution

    |

  4. In the parabola y^(2) = 4x, the length of the chord passing through th...

    Text Solution

    |

  5. The length of chord Intercepted by the parabola y=x^(2)+3x on the lin...

    Text Solution

    |

  6. On the parabola = y^(2)=8x. If one extrimity of focal chord is ((1)/(2...

    Text Solution

    |

  7. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

    Text Solution

    |

  8. Match the lengths of the focal chords drawn to y^(2)=8x from points ha...

    Text Solution

    |

  9. If x-2y-a = 0 is a chord of y^(2) = 4ax then its length is

    Text Solution

    |

  10. If (x(1),y(1)) and (x(2),y(2)) are ends of focal chord of y^(2)=4ax th...

    Text Solution

    |

  11. If the tangents to y^(2)= 2x at 3 points have inclinations 30^(@), 40^...

    Text Solution

    |

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

    Text Solution

    |

  13. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

    Text Solution

    |

  14. The area of triangle formed by the points points and t(1),t(2) and t(3...

    Text Solution

    |

  15. The area of triangle formed by tangents at the parametrie points t(1),...

    Text Solution

    |

  16. If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the...

    Text Solution

    |

  17. Equation of normal to y^(2) = 4x at the point whose ordinate is 4 is

    Text Solution

    |

  18. The equation of normal to y^(2) = 4ax at the point of contact of a Ta...

    Text Solution

    |

  19. The angle between normals to y^(2) = 24x at the points (6, 12) and (6,...

    Text Solution

    |

  20. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

    Text Solution

    |