Home
Class 12
MATHS
Eccentricity of ellipse 2(x-y+1)^(2)+3(x...

Eccentricity of ellipse `2(x-y+1)^(2)+3(x+y+2)^(2)=5` is

A

`1/(sqrt(2))`

B

`1/(sqrt(3))`

C

`1/2`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
B

`1/2=1/2(1-e^(2))`
`e^(2)=1- 2/3`
`e=1/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of ellipse 4(x-2y+1)^2 +9(2x+y+2)^2=180 is

Find the centre and eccentricity of the ellipse 4(x-2y+1)^(2)+9(2x+y+2)^(2)=5 .

If e be the eccentricity of ellipse 3x2+2xy+3y^(2)=1 then 8e^(2) is

" If e is eccentricity of the ellipse 2x^(2)+3y^(2)=6 and r is the radius of the circle x^(2)+y^(2)-2x+4y+4=0 then e^(2)+r =

The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

The eccentricity of the ellipse 2x^(2)+16y^(2)=400 is 3/5 b.1/3 c.2/5 .1/5

Eccentricity of the ellipse 4x^(2)+y^(2)-8x-2y+1=0

RESONANCE-TEST SERIES-MATHEMATICS
  1. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  2. If lim(nrarroo) (n*2^(n))/(n(3x-4)^(n)+n*2^(n+1)+2^(n))=1/2 where n in...

    Text Solution

    |

  3. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  4. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  5. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  6. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for (A) "x" epsilonR (B) 2npi...

    Text Solution

    |

  7. is The function f(x)=(x^2-1)|x^2-3x+2|+cos(|x|) is differentiable not ...

    Text Solution

    |

  8. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  9. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  10. Let f (x)= x^3+ x^2+ x+ 1 and g(x)=max[f(t)] , 0<=t<=x , 0<=x<=1 and f...

    Text Solution

    |

  11. The value(s) of x satisfying tan^(-1)(x+3)-tan^(-1)(x-3)=sin^(-1)(3/5)...

    Text Solution

    |

  12. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  13. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  14. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then (...

    Text Solution

    |

  15. The co-ordinates of the points on the curve y=x^(2)+3x+4 at which the ...

    Text Solution

    |

  16. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  17. If y+a=m(1)(x+3a),y+a=m(2)(x+3a) are two tangents to the parabola y^(2...

    Text Solution

    |

  18. If f(x)=lim(m->oo) lim(n->oo)cos^(2m) n!pix then the range of f(x) is

    Text Solution

    |

  19. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

    Text Solution

    |

  20. Q. For every integer n, let an and bn be real numbers. Let function f:...

    Text Solution

    |