Home
Class 12
MATHS
Let P be the foot of the perpendicular f...

Let P be the foot of the perpendicular from focus S of hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` on the line `bx-ay=0` and let C be the centre of the hyperbola. Then the area of the rectangle whose sides are equal to that of SP and CP is

A

2ab

B

ab

C

`((a^(2)+b^(2)))/(2)`

D

`(a)/(b)`

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

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x0, y0).

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

Let P(4,3) be a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 . If the normal at P intersects the x-axis at (16,0), then the eccentriclty of the hyperbola is

If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (pi)/(3) , then the eccentricity of conjugate hyperbola is _________.

Show that the midpoints of focal chords of a hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 lie on another similar hyperbola.

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then

If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 such that O P Q is an equilateral triangle, O being the center of the hyperbola, then find the range of the eccentricity e of the hyperbola.

Let PQ be a double ordinate of the hyperboal (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 .If O be the centre of the hyperbola and OPQ is an equilateral triangle, then prove that the eccentricity e gt 2/sqrt(3) .

Let P(6,3) be a point on the hyperbola parabola x^2/a^2-y^2/b^2=1 If the normal at the point intersects the x-axis at (9,0), then the eccentricity of the hyperbola is

Ifthe normal at P to the rectangular hyperbola x^2-y^2=4 meets the axes in G and g and C is the centre of the hyperbola, then

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2017-Multiple Choice Questions
  1. The common chord of the circles x^(2)+y^(2)-4x-4y=0 and 2x^(2)+2y^(2)=...

    Text Solution

    |

  2. The locus of the mid-points of the chords of the circle x^(2)+y^(2)+2x...

    Text Solution

    |

  3. Let P be the foot of the perpendicular from focus S of hyperbola (x^(2...

    Text Solution

    |

  4. B is an extremity of the minor axis of an ellipse whose foci are S and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |