Home
Class 12
MATHS
If the parabola x^(2)=ay makes an interc...

If the parabola `x^(2)=ay` makes an intercept of length `sqrt(40)` unit on the `y-2x=1` then a is equal to

A

1

B

`-2`

C

`-1`

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

If the parabola x^2=ay makes an intercept of length sqrt40 unit on the line y-2x = 1 then a is equal to

If the parabola x^(2) = ay makes an intercept of length sqrt(40) unit on the line y - 2 x = 1 , then a is equal to

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

The equaiton of the lines through the point (2, 3) and making an intercept of length 2 units between the lines y+2x=3 and y+2x=5 are (A) x+3=0, 3x+4y=12 (B) y-2=(0, 4x-3y=6 (C) x-2=0, 3x+4y=18 (D) none of these

If the area enclosed by the parabola x^(2)=72y and the line y=k be 64 sqrt(2) square unit, then the value of k is-

If a chord of a circle x^2 + y^2 =32 makes equal intercepts of length l of the co-ordinates axes, then

Find the equation of the line passing through the point (2,3) and making intercept of length 2 units bewteen the lines y+2x=3 and y+2x=5 .

If the area enclosed by the parabola x^(2)=72y and the line y=k be 64sqrt(2) square units, then show that the given line touches the circle x^(2)+y^(2)-4y=0 .

A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on the positive x- and y-axis. If this normal touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then a^2+b^2 is equal to (a) 5 (b) 25 (c) 16 (d) none of these

If the area inside the parabola 5x^(2) -y=0 but outside the parabola 2x^(2) -y+ 9 =0 is 2K sqrt 3 sq . Units then the value of K is equal to-

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. The sum of n terms of the following series, 1^(3)+3^(3)+5^(3)+7^(3)+…....

    Text Solution

    |

  2. If alpha and beta are roots of ax^(2)+bx+c=0 then the equation whose r...

    Text Solution

    |

  3. If omega is an imaginary cube root of unity, then the value of (2-omeg...

    Text Solution

    |

  4. If ""^(n)C(r-1)=36, ""^(n)C(r )=84 and ""^(n)C(r+1)=126 then the value...

    Text Solution

    |

  5. In a group 14 males and 6 females, 8 and 3 of the males and females re...

    Text Solution

    |

  6. The equation x^(3)-yx^(2)+x-y=0 represents

    Text Solution

    |

  7. The locus of the midpoints of chords of the circle x^(2)+y^(2)=1 which...

    Text Solution

    |

  8. The locus of the midpoints of all chords of the parabola y^(2)=4ax thr...

    Text Solution

    |

  9. If [x] denotes the greatest integer less than or equal to x, then the ...

    Text Solution

    |

  10. The number of points at which the function f(x)=max {a-x, a+x, b}, -oo...

    Text Solution

    |

  11. If the parabola x^(2)=ay makes an intercept of length sqrt(40) unit on...

    Text Solution

    |

  12. If f(x) is a function such that f'(x)=(x-1)^(2)(4-x), then

    Text Solution

    |

  13. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangents are p...

    Text Solution

    |

  14. If varphi(t)={{:("1, for 0" le t lt 1),("0 otherwise"):} then int...

    Text Solution

    |

  15. If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alpha and y=beta...

    Text Solution

    |

  16. If z = sin theta -i cos theta then for any integer n,

    Text Solution

    |

  17. Let f : X to X be such that f(f(x))=x for all x in X and X sube R, the...

    Text Solution

    |

  18. If A, B are two events such that P(A uu B)ge (3)/(4) and (1)/(8)le P(A...

    Text Solution

    |

  19. If the first and the (2n+1)^(th) terms of an AP, GP and HP are equal a...

    Text Solution

    |

  20. The coordinates of a point on the line x+y+1=0 which is at a distance ...

    Text Solution

    |