Home
Class 12
MATHS
The equation of parabola which cuts the ...

The equation of parabola which cuts the parabola `y^(2) = 4bx` orthogonally having the same axis and length of latus rectum as `8b,` is

A

`y^(2) = -8b(x - 8b)`

B

`y^2 = -8b (x - 4b)`

C

`y^2 = -8b (x - 32 b)`

D

`y^2 = -8b (x - 3b)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 109

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 22

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Equation of the latus rectum of the parabola 2y^(2) = 5x 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

If the parabola y^(2)=4ax passes through the (4,-8) then find the length of latus rectum and the co-ordinates of focus.

The length of the latus rectum of the parabola x^(2) = -28y is

If the line 2x+3y=1 touches the parabola y^(2)=4ax then the length of latus rectum is

NTA MOCK TESTS-NTA JEE MOCK TEST 19-MATHEMATICS
  1. If the letters of the word CORONA are arranged in all possible ways an...

    Text Solution

    |

  2. The solution of the differential equation dy - (ydx)/(2x) = sqrt(x) yd...

    Text Solution

    |

  3. If (cot^-01 x)^2 -7(cot^-1 x)+10gt0 then range of x will be

    Text Solution

    |

  4. If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 ...

    Text Solution

    |

  5. The sum up to 60 terms of 3/(1^2) + 5/(1^2 + 2^2) + 7/(1^2 + 2^2 + 3^2...

    Text Solution

    |

  6. If C(0), C(1), C(2),..., C(n) are binomial coefficients in the ex...

    Text Solution

    |

  7. The value of the integral int((sin x)/(x))^(6)((x cos x - sin x)/(x^2)...

    Text Solution

    |

  8. If the difference between the number of subsets of two sets A and B is...

    Text Solution

    |

  9. The function f : [0, 7] to [0, 70] where f(x) = x^(3) - 12x^(2) + 45x,...

    Text Solution

    |

  10. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

    Text Solution

    |

  11. The value of lim(x to 0) (log(sin 5x + cos 5x))/(tan 3x) is equal to

    Text Solution

    |

  12. The number of values of p for which the lines x+ y - 1 = 0, px + 2y + ...

    Text Solution

    |

  13. If y = 1/x , then the value of (dy)/(sqrt(1 + y^4)) + (dx)/(sqrt(1 + x...

    Text Solution

    |

  14. From a point P(3, 3) on the circle x^(2) + y^(2) =18 , two chords PQ a...

    Text Solution

    |

  15. The equation of parabola which cuts the parabola y^(2) = 4bx orthogona...

    Text Solution

    |

  16. If sum(i=1)^(5) (x(i) - 6) = 5 and sum(i=1)^(5)(x(i)-6)^(2) = 25, then...

    Text Solution

    |

  17. If the image of the point P(1, -2,3) in the plane 2x+ 3y + 4z + 22 = 0...

    Text Solution

    |

  18. tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=

    Text Solution

    |

  19. If f(x) = {(sqrt(1 + sqrt(5 + x)-a)/((x-4)), 0 le x le 4),(b, x ge 4):...

    Text Solution

    |

  20. If P(1) = 1 - (w)/2 + (w^2)/4 - (w^3)/(8) + ……… oo and P(2) = (1 - om...

    Text Solution

    |