Home
Class 12
MATHS
The line segment joining the foci of the...

The line segment joining the foci of the hyperbola `x^(2)-y^(2)+1=0` is one of the diameters of a circle. The equation of the circle is

A

`x^(2)+y^(2)=4`

B

`x^(2)+y^(2)=sqrt(2)`

C

`x^(2)+y^(2)=2`

D

`x^(2)+y^(2)=2sqrt(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

The line segment joining the foci of the hyperbola x^(2)-y^(2)+1=0 is one of the diameters of a circle. The equation o f the circle is

The equation of the circle drawn on the line segment joining the foci of the two parabolas x ^(2) = 4ayand y^(2) =4a(x-a) as a diameter is-

Find the range of parameter a for which a unique circle will pass through the points of intersection of the hyperbola x^2-y^2=a^2 and the parabola y=x^2dot Also, find the equation of the circle.

The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at the points P and Q . The equation of the circle with pq as diameter is _

If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 154 sq. units, then the equation of the circle is

The equation of the auxiliary circle of the hyperbola x^2/a^2-y^2/b^2=1 is

The line segment joining the points (1,2) and (-2, 1) is divided by the line 3x+4y=7 in the ratio

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

If one of the diameters of the curve x^(2)+y^(2)-4x-6y+9=0 is a chord of a circle with centre (1,1), the radius of this circle is

If a circle is concentric with the circle x^(2) + y^(2) = 8 and its diameter is 4 units , which of the following will be the equation of the circle ?

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. B is an extremity of the minor axis of an ellipse whose foci are S and...

    Text Solution

    |

  2. The axis of the parabola x^(2)+2xy+y^(2)-5x+5y-5=0 is

    Text Solution

    |

  3. The line segment joining the foci of the hyperbola x^(2)-y^(2)+1=0 is ...

    Text Solution

    |

  4. The equation of the plane through (1,2,-3) and (2,-2,1) and parallel t...

    Text Solution

    |

  5. Three lines are drawn from the origin O with direction cosines proport...

    Text Solution

    |

  6. Consider the non-constant differentiable function f of the one variabl...

    Text Solution

    |

  7. If f(x)=log(5)log(3)x, then f'(e ) is equal to

    Text Solution

    |

  8. Let F(x)=e^(x),G(x)=e^(-x) and H(x)=G(F(x)), where x is a real variabl...

    Text Solution

    |

  9. If f''(0)=k,kne0 then the value of lim(xrarr0)(2f(x)-3f(2x)+f(4x))/(x^...

    Text Solution

    |

  10. If y=e^(msin^(-1)x), then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-ky=0. ...

    Text Solution

    |

  11. The chord of the curve y=x^(2)+2ax+b. Joining the points where x=alpha...

    Text Solution

    |

  12. Let f(x)=x^(13)+x^(11)+x^(9)+x^(7)+x^(5)+x^(3)+x+19. Then f(x)=0 has

    Text Solution

    |

  13. Let f(x)={{:(x^(p)/((sinx)^(q))" , if "0ltxle(x)/(2)),(" 0 ,...

    Text Solution

    |

  14. lim(xrarr0)(sinx)^(2tanx)

    Text Solution

    |

  15. intcos(logx)dx=F(x)+c, where c is an arbitrary constant. Here F(x) =

    Text Solution

    |

  16. int(x^(2)-1)/(x^(4)+3x^(2)+1)dx(xgt0) is

    Text Solution

    |

  17. Let l=int(10)^(19)(sinx)/(1+x^(8))dx. Then.

    Text Solution

    |

  18. Let l(1)=int(n)^(n)[x]dxandI(2)=int(0)^(n)|x|dx, where [x] and |x| are...

    Text Solution

    |

  19. The value of lim(nrarroo)[(n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2))+...+(1)/...

    Text Solution

    |

  20. The value of the integral int(0)^(1)e^(x^(2))dx

    Text Solution

    |