Home
Class 11
MATHS
If A (x(1) , y(1)) " and B" (x(2), y(2))...

If A `(x_(1) , y_(1)) " and B" (x_(2), y_(2))` are point on ` y^(2) = 4ax ` , then slope of AB is

A

`(x_(1) - x_(2))/(y_(1) - y_(2))`

B

`(4a)/(x_(1) + x_(2))`

C

`(4a)/(y_(1) + y_(2))`

D

`(4a)/(x_(1) - x_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos
  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos
  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

If A (t_(1)) " and " B(t_(2)) are points on y^(2) = 4ax , then slope of AB is

If (x_(1) ,y_(1))" and " (x_(2) , y_(2)) are ends of a chord of y^(2) = 4ax , which cuts its axis at a distance delta from the origin , then the product x_(1) x_(2) =

Let A(x_(1), y_(1))" and "B(x_(2), y_(2)) be two points on the parabola y^(2)=4ax . If the circle with chord AB as a diameter touches the parabola, then |y_(1)-y_(2)|=

If (x_(1),y_(1)) and (x_(2),y_(2)) are ends of a focal chord of y^(2)=4ax, then values of x_(1)x_(2) and y_(1)y_(2)are(A)a^(2),a^(2)(B)2a^(2),a^(2)(C)a^(2),-4a^(2) (D) a,a

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax , evaluate : x_(1) x_(2) + y_(1) y_(2) .

If P(x_(1),y_(1)),Q(x_(2),y_(2)) and R(x_(3),y_(3)) are three points on y^(2)=4ax and the normal at PQ and R meet at a point,then the value of (x_(1)-x_(2))/(y_(3))+(x_(2)-x_(3))/(y_(1))+(x_(3)-x_(1))/(y_(2))=

If (x_(1),y_(1)) and (x_(2),y_(2)) are the end points of focal chord of the parabola y^(2)=4ax then 4x_(1)x_(2)+y_(1)y_(2)

If (x _(a), y_(1))and (x_(2), (y_(2)) are the end points of a focal chord of the parabola y ^(2) = 5x, then 4 x _(1) x_(2)+y_(1)y_(2)=

Two point B(x_(1), y_(1)) and C(x_(2), y_(2)) are such that x_(1), x_(2) are the roots of the equation x^(2)+4x+3=0 and y_(1),y_(2) are the roots of the equation y^(2)-y-6=0 . Also x_(1)lt x_(2) and y_(1)gt y_(2) . Coordinates of a third point A are (3, -5). If t is the length of the bisector of the angle BAC, then l^(2) is equal to.

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Tangent to y^(2) = 4ax at its vertex is

    Text Solution

    |

  2. Foot of the directrix of the parabola y^(2) = 4ax is the point

    Text Solution

    |

  3. If A (x(1) , y(1)) " and B" (x(2), y(2)) are point on y^(2) = 4ax , ...

    Text Solution

    |

  4. If A (t(1)) " and " B(t(2)) are points on y^(2) = 4ax , then slope ...

    Text Solution

    |

  5. Points A,B ,C , D on y^(2) = 4ax have parameters t(1) , t(2), t(3), ...

    Text Solution

    |

  6. Points A,B,C,D, on y^(2) = 4ax have parameters t(1) , t(2), t(3) , ...

    Text Solution

    |

  7. If PQ is a focal chord of parabola y^(2) = 4ax whose vertex is A , t...

    Text Solution

    |

  8. If focal distance of a point P on y^(2) = 8x is 4, then P is

    Text Solution

    |

  9. If focal distance of point P on y^(2) = 4x is 6, then P is

    Text Solution

    |

  10. An equilateral triangle is inscribed in y^(2) = 8x so that one angul...

    Text Solution

    |

  11. If (4,0) is the vertex , and Y-axis the directrix of a parabola , then...

    Text Solution

    |

  12. The angle subtended by the double ordinate of length 8a of the parabol...

    Text Solution

    |

  13. If points (au^(2), 2au)'" and " (av^(2) , 2av) are ends of a focal c...

    Text Solution

    |

  14. A circle centred at the vertex of parabola x^(2) = 4y intersects it ...

    Text Solution

    |

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

    Text Solution

    |

  16. If ASB is a focal chord of a parabola such that AS = 2 and SB = 4 , th...

    Text Solution

    |

  17. If a parabole y^(2) = 4ax passes through (2,-6), then its latus-rectu...

    Text Solution

    |

  18. Equation of directrix of parabola 5y^(2) = 4x is

    Text Solution

    |

  19. The length of the latusrectum of the parbola whose focus is (3, 3) and...

    Text Solution

    |

  20. If (x(1) ,y(1))" and " (x(2) , y(2)) are ends of a chord of y^(2) = ...

    Text Solution

    |