Home
Class 11
MATHS
The eccentricity of the curve x^(2)-4x+4...

The eccentricity of the curve `x^(2)-4x+4y^(2)=12` is

A

`sqrt(3)`

B

`(1)/(sqrt(3))`

C

`(2)/(3)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.1|15 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.2|12 Videos
  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11F|10 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos
  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola 3x^(2)-4y^(2)=-12 is

The eccentricity of the ellipse 12x^(2)+7y^(2)=84 is equal to

The eccentricity of the ellipse 3x^2+4y^2=12 is decreasing at the rate of 0.1 per sec.The time at which it will coincide with auxiliary circle is:

Find the eccentricity of the hyperbola 9y^(2)-4x^(2)=36

The eccentricity of the ellipse x^(2)+4y^(2)+8y-2x+1=0 , is

the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

The eccentricity of te ellipse (x^(2))/(16) + (y^(2))/(4) = 1 is _______

Find the eccentricity of the ellipse, 4x^(2)+9y^(2)-8x-36y+4=0 .

Tangents are drawn from point P on the curve x^(2) - 4y^(2) = 4 to the curve x^(2) + 4y^(2) = 4 touching it in the points Q and R . Prove that the mid -point of QR lies on x^(2)/4 - y^(2) = (x^(2)/4 + y^(2))^(2)

The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (b) sqrt(2) (c) 2 (d) 1/2