Home
Class 12
MATHS
The length of the major axis of the elli...

The length of the major axis of the ellipse
`((x-3)^(2))/(16) + ((y+2)^(2))/(25) = 1` is

A

3

B

4

C

6

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
This ellipse has its center at (3,-2) . Since `25 gt 16` , the major axis is vertical , and its length is `2sqrt(25) = 10` .
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Length of the major axis of the ellipse 9x^(2)+7y^(2)=63, is

The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is

The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)=1 are

The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

If the length of minor axis of the ellipse (x^(2))/(k^(2)a^(2))+(y^(2))/(b^(2))=1 is equal to the length of transverse axis of hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ,and the equation of ellipse is confocal with hyperbola then the value k is equal to

The vertex of ellipse (x^(2))/(16)+(y^(2))/(25)=1 are :

The length of major ofthe ellipse (5x-10)^2 +(5y+15)^2 = 1/4(3x-4y+7)^2 is

Find the area enclosed by the ellipse (x^(2))/(25) + (y^(2))/(16) = 1 .

Number of points on the ellipse (x^(2))/(25) + (y^(2))/(16) =1 from which pair of perpendicular tangents are drawn to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 is

What is the length of the major axis of the ellipse whose equation is 10x^(2)+20y^(2)=200?

ENGLISH SAT-MODEL TEST 5-MCQs
  1. If f(x) = x^(2) - 4 , for what real number values of x will f(f(x))= 0...

    Text Solution

    |

  2. If f(x) = x log x and g(x) = 10^(x) , then g(f(2)) =

    Text Solution

    |

  3. If f(x) = x^(sqrtx) , then f(sqrt2)=

    Text Solution

    |

  4. The figure above shows the graph of 5^(x) . What is the sum of the are...

    Text Solution

    |

  5. (p,q) is called a lattice point if p and q are both integers . How man...

    Text Solution

    |

  6. If 9^(x) = sqrt3 and 2^(x+y) = 32 , then y =

    Text Solution

    |

  7. For all real numbers x , f(2x) = x^(2) - x + 3 . An expression for f(x...

    Text Solution

    |

  8. For what value (s) of k is x^(2) - kx + k divisible by x - k ?

    Text Solution

    |

  9. If the graphs of x^(2) = 4(y+9) and x + ky = 6 intersect on the x-axis...

    Text Solution

    |

  10. The length of the major axis of the ellipse ((x-3)^(2))/(16) + ((y+2...

    Text Solution

    |

  11. If f(n) = {{:( (f(n-1))/(2) " when " fn-1 "is an even number"), (3* f(...

    Text Solution

    |

  12. How many different rearrangements of the letters in the word CONTEST s...

    Text Solution

    |

  13. Which of the following translations of the graph of y = x^(2) would re...

    Text Solution

    |

  14. How many positive integers are there in the solution set of (x)/(x-2) ...

    Text Solution

    |

  15. During the year 1995 the price of ABC Company stock increased by 125% ...

    Text Solution

    |

  16. If x(0) = 3 and x(n+1) = x(n) sqrt(xn + 1) , then x(3) =

    Text Solution

    |

  17. When the smaller root of the equation 3x^(2) + 4x - 1 = 0 is subtracte...

    Text Solution

    |

  18. A committee of 4 is to be selected from a group of 7 women and 4 men ....

    Text Solution

    |

  19. If x , y ,and z are positive , with xy = 24 , xz = 48 , and yz = 72 , ...

    Text Solution

    |

  20. In radians , sin^(-1) (cos 100^(@)) =

    Text Solution

    |