Home
Class 12
MATHS
The focus of rectangular hyperbola (x-a)...

The focus of rectangular hyperbola `(x-a)*(y-b)=c^2` is

A

(a) `(h-p, k-p)`

B

(b) `(h-p, k+p)`

C

(c) `(h+p, k-p)`

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If there are two points A and B on rectangular hyperbola xy=c^2 such that abscissa of A = ordinate of B, then locusof point of intersection of tangents at A and B is (a) y^2-x^2=2c^2 (b) y^2-x^2=c^2/2 (c) y=x (d) non of these

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is

If a rectangular hyperbola (x-1)(y-2)=4 cuts a circle x^(2)+y^(2)+2gx+2fy+c=0 at points (3, 4), (5, 3), (2, 6) and (-1, 0) , then the value of (g+f) is equal to

. A straight line touches the rectangular hyperbola 9x^2-9y^2=8 and the parabola y^2= 32x . An equation of the line is

The condition that a straight line with slope m will be normal to parabola y^(2)=4ax as well as a tangent to rectangular hyperbola x^(2)-y^(2)=a^(2) is

The equation of the line passing through the centre of a rectangular hyperbola is x-y-1=0 . If one of its asymptotoes is 3x-4y-6=0 , the equation of the other asymptote is

A circle with centre (3alpha, 3beta) and of variable radius cuts the rectangular hyperbola x^(2)-y^(2)=9a^(2) at the points P, Q, S, R . Prove that the locus of the centroid of triangle PQR is (x-2alpha)^(2)-(y-2beta)^(2)=a^(2) .

If the normal to the rectangular hyperbola xy = c^2 at the point 't' meets the curve again at t_1 then t^3t_1, has the value equal to

A circle cuts the rectangular hyperbola xy=1 in the points (x_(r),y_(r)), r=1,2,3,4 . Prove that x_(1)x_(2)x_(3)x_(4)=y_(1)y_(2)y_(3)y_(4)=1

The equation to the chord joining two points (x_1,y_1)a n d(x_2,y_2) on the rectangular hyperbola x y=c^2 is: x/(x_1+x_2)+y/(y_1+y_2)=1 x/(x_1-x_2)+y/(y_1-y_2)=1 x/(y_1+y_2)+y/(x_1+x_2)=1 (d) x/(y_1-y_2)+y/(x_1-x_2)=1

ARIHANT MATHS-HYPERBOLA-Exercise (Single Option Correct Type Questions)
  1. Let A=(-3, 4) and B=(2, -1) be two fixed points. A point C moves such ...

    Text Solution

    |

  2. A point P is taken on the right half of the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |

  3. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

    Text Solution

    |

  4. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

    Text Solution

    |

  5. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  6. Find the 15^(th) term of the following sequence whose n^(th) term is ...

    Text Solution

    |

  7. An ellipse has eccentricity (1)/(2) and one focus at the point P ((1)/...

    Text Solution

    |

  8. The equation of the line passing through the centre of a rectangular h...

    Text Solution

    |

  9. The condition that a straight line with slope m will be normal to para...

    Text Solution

    |

  10. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

    Text Solution

    |

  11. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

    Text Solution

    |

  12. Find the 5^(th) term of the G.P , 1/2 , 1/4 ,1/8 ....

    Text Solution

    |

  13. Locus of the point of intersection of the tangents at the points with ...

    Text Solution

    |

  14. Latusrectum of the conic satisfying the differential equation xdy+ydx=...

    Text Solution

    |

  15. The point of intersection of the curve whose parametrix equations are ...

    Text Solution

    |

  16. If the tangent and normal to a rectangular hyperbola cut off intercept...

    Text Solution

    |

  17. The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

    Text Solution

    |

  18. The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2...

    Text Solution

    |

  19. If the values of m for which the line y=mx+2sqrt(5) touches the hyperb...

    Text Solution

    |

  20. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |