Home
Class 12
MATHS
P (x(1),y(1)) and Q(x(2),y(2)) are t...

`P (x_(1),y_(1))` and `Q(x_(2),y_(2))` are two ends of a latus rectum of the ellipse `x^(2) + 4y^(2) = 4 ` , where `y_(1),y_(2) lt 0 ` . The equation of parabola with latus rectum PQ is _

A

`x^(2) + 2 sqrt(3)y = 3 + sqrt(3)`

B

`x^(2) - 2 sqrt(3) y = 3 + sqrt(3)`

C

`x^(2) + 2 sqrt(3) y = - sqrt(3)`

D

`x^(2) - 2 sqrt(3) y = 3 - sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Qusettions for competitive Exams (B Integer Answer Type )|5 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Short Answer Type Questios|48 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

Similar Questions

Explore conceptually related problems

The length of latus rectum of the ellipse 25x^(2) + 9y ^(2) = 225 is _

The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is _

The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

The length of the latus rectum of the ellipse 16x^(2) + 25y^(2) = 400 is:

The length of latus rectum of the hyperabola 9y^(2) - 4x^(2) = 36 is -

find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(2))/(16) = 1

The length of latus rectum of the parabola 3x^(2) =- 8y is _

The length of the latus rectum of the parabola x^2 −4x−8y+12=0 is

Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 and it is in the third quadrandt, then the eccentric angle of L is-

The equation y^(2) + 4x + 4y + k = 0 represents a parabola whose latus rectum is _