Home
Class 12
MATHS
if the line x- 2y = 12 is tangent ...

if the line x- 2y = 12 is tangent to the ellipse `(x^(2))/(b^(2))+(y^(2))/(b^(2))=1` at the point `(3,(-9)/(2))` then the length of the latusrectum of the ellipse is

A

5 units

B

`12sqrt2` units

C

9 units

D

`8sqrt3` units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 7

    NTA MOCK TESTS|Exercise MATHEMATICS - Subjective Numerical|5 Videos

  • JEE MOCK TEST 9

    NTA MOCK TESTS|Exercise MATH|25 Videos

Similar Questions

Explore conceptually related problems

The length of the latusrectum of the ellipse 3x^(2)+y^(2)=12 is

If y=mx+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the point of contact is

If equation of tangent to ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at (3,(-9)/(2)) is x-2y=12. Then length of latus rectum is

the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45, is

Find the equation of tangent line to the ellipse (x^(2))/(8)+(y^(2))/(2)=1 at point (2,1)

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

The straight line x+y=a will be a tangent to the ellipse (x^(2))/(9)+(y^(2))/(16)=1 if a=

The line x=at^(2) meets the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in the real points if

NTA MOCK TESTS-JEE MOCK TEST 8-MATHEMATICS
  1. A number x is chosen at random from the set {1,2,3,4, ………., 100}. Defi...

    Text Solution

    |

  2. Lock of a safe consists of five discs each of which features the digit...

    Text Solution

    |

  3. if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2...

    Text Solution

    |

  4. The geometric mean of 6 observation was calculated as 13. It was later...

    Text Solution

    |

  5. Let y = x^(x^(x...oo))," then " (dy)/(dx) is equal to

    Text Solution

    |

  6. If f(x)=2x-sinx, f:RrarrR and g(x)=x^((1)/(3)), g:RrarrR, then

    Text Solution

    |

  7. General solution of the equation tan^(2)theta+sec2theta=1 is

    Text Solution

    |

  8. 2^(n) lt n! holds for

    Text Solution

    |

  9. The relation tan^(-1)((1+x)/(1-x))=(pi)/(4)+tan^(-1)x holds true for a...

    Text Solution

    |

  10. Line L has intercepts a and b on the coordinate axes. When the axes a...

    Text Solution

    |

  11. A chimeny of 20 m height standing on the top of a building subtends an...

    Text Solution

    |

  12. The value of the integral int(-a)^(a)(e^(x))/(1+e^(x))dx is

    Text Solution

    |

  13. The function x^(5)-5x^(4)+5x^(3)-1 is

    Text Solution

    |

  14. Find the order and degree of the following differential equation: (d^2...

    Text Solution

    |

  15. A and B are two given matrices such that the order of A is 3 xx 4 if ...

    Text Solution

    |

  16. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

    Text Solution

    |

  17. The variance of the numbers 2, 3, 11 and x is (49)/(4), then the value...

    Text Solution

    |

  18. If n is an even positive integer greater than 1 and x gt0, then the ...

    Text Solution

    |

  19. If f(x)={((sqrt(g(x))-1)/(sqrtx-1)"," , x ne 1),(1",",x=1):} and g'(1)...

    Text Solution

    |

  20. Let two numbers have arithmatic mean 9 and geometric mean 4.Then these...

    Text Solution

    |