Home
Class 12
MATHS
If the equation of latus rectum of a par...

If the equation of latus rectum of a parabola is `x+y-8=0` and the equation of the tangent at the vertex is `x+y-12=0,` then the length of the latus rectum is-

A

`4sqrt2`

B

`8sqrt2`

C

`2sqrt2`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 2|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 4|91 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

The equation of the latus rectum of a parabola is x+y=8 and the equation of the tangent at the vertex is x+y=12. Then find the length of the latus rectum.

Find the equation of the hyperbola where foci are (0,+-12) and the length of the latus rectum is 36 .

find the equation of hyperabola where foci are (0,12) and (0,-12)and the length of the latus rectum is 36

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

If the length of latus rectum of a rectangular hyperbola is 6 unit, find its equation.

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

Find the latus rectum of the parabola (y-3)^2=6(x-2)

Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at the positive end of the latus rectum.

The length of latus rectum of the parabola (y-1)^(2) =- 6( x+2) is_

Find the equation of the parabola whose vertex is at (2,-3) , axis is parallel to x - axis and length of latus rectum is 12 .

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. If the equation of latus rectum of a parabola is x+y-8=0 and the equat...

    Text Solution

    |

  2. if tan x =b/a, then (sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))) is equal to-

    Text Solution

    |

  3. The complex number z is is such that |z| =1, z ne -1 and w= (z-1)/(z+1...

    Text Solution

    |

  4. The number of words that can be formed out of the letters of the word ...

    Text Solution

    |

  5. The product [32. (32)^(1//6). (32) ^(1//36). ..o] is equal to-

    Text Solution

    |

  6. If a, b, c are distinct positive rational numbers and they are in A.P....

    Text Solution

    |

  7. If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, ...

    Text Solution

    |

  8. 10 boys and 6 girls are arranged in a row, the number of arrangement i...

    Text Solution

    |

  9. If i= sqrt(-1) then the value of sqrti is-

    Text Solution

    |

  10. The sm of numjbers lying between 107 and 253 and divisible by 5 is-

    Text Solution

    |

  11. The coefficient of x ^(24) in (1+ x^(2)) ^(12)(1+ x^(12))(1+ x ^(24)) ...

    Text Solution

    |

  12. If the sum of squares of the diviations of 10 observations taken from ...

    Text Solution

    |

  13. If omega is a complex cube root of unity, then the value of (2-omega) ...

    Text Solution

    |

  14. If the coefficient of x^(7) in (ax ^(2) +(1)/(bx)) ^(11) equals the c...

    Text Solution

    |

  15. The probability of getting a total of at least 6 in the simultaneous t...

    Text Solution

    |

  16. In the Argand diagram, OAP is an isosceles right angled triangle, righ...

    Text Solution

    |

  17. The real part of (1+ cos ""pi/5 + i sin ""pi/5)^(-1) is-

    Text Solution

    |

  18. The valud of [15^(2)+16^(2)+17^(2)+…+ 30^(2)] is-

    Text Solution

    |

  19. 5 boys and 5 girls are sitting in a row randomly. The probability that...

    Text Solution

    |

  20. If x in RR and (x)/(2x+1) ge 1/4, state which of the following is true...

    Text Solution

    |

  21. The value of (""^(20) C(4) +2* ""^(20)C(3)+""^(20)C(2) -""^(22)C(18)) ...

    Text Solution

    |