Home
Class 11
MATHS
Circle are drawn on the chords of the re...

Circle are drawn on the chords of the rectangular hyperbola `x y=4` parallel to the line `y=x` as diameters. All such circles pass through two fixed points whose coordinates are `(2,2)` (b) `(2,-2)` (c) `(-2,2)` (d) `(-2,-2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4 , then all the chords of contact pass through a fixed point, whose coordinate are

If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passes through two fixed points. The coordinates of the fixed points can be (a) (-2,-1) (b) (2,-1) (c) (-2,1) (d) (2,1)

If the lines x+y=6 and x+2y=4 are diameters of the circle which passes through the point (2, 6), then find its equation.

The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts orthogonally x^2 + y^2=4 . Show that circle S=0 passes through two fixed points & find their coordinates.

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

Tangents are drawn from the points on the line x-y-5=0 to x^2+4y^2=4 . Then all the chords of contact pass through a fixed point. Find the coordinates.

The radius of the circle passing through the point (6, 2), two of whose diameters are x+y = 6 and x+2y=4 is

The chords of contact of the pair of tangents drawn from each point on the line 2x + y=4 to the circle x^2 + y^2=1 pass through the point (h,k) then 4(h+k) is

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. For the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , let n be the number of p...

    Text Solution

    |

  2. The differential equation (dy)/(dx)=(2x)/(3y) represents a family of h...

    Text Solution

    |

  3. Circle are drawn on the chords of the rectangular hyperbola x y=4 para...

    Text Solution

    |

  4. The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents (a) a pa...

    Text Solution

    |

  5. If x , y in R , then the equation 3x^4-2(19 y+8)x^2+(361 y^2+2(100+y...

    Text Solution

    |

  6. The equation |sqrt(x^2+(y-1)^2)-sqrt(x^2+(y+1)^2)|=K will represent a ...

    Text Solution

    |

  7. The exhaustive set value of alpha^2 such that there exists a tangent t...

    Text Solution

    |

  8. A variable chord of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(b > a), s...

    Text Solution

    |

  9. Show that the equation 9x^2-16 y^2-18 x+32 y-151=0 represents a hyperb...

    Text Solution

    |

  10. For which of the hyperbolas, can we have more than one pair of perpe...

    Text Solution

    |

  11. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  12. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

    Text Solution

    |

  13. Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 t...

    Text Solution

    |

  14. If the circle x^2+y^2=a^2 intersects the hyperbola x y=c^2 at four poi...

    Text Solution

    |

  15. If the foci of (x^2)/(a^2)-(y^2)/(b^2)=1 coincide with the foci of (x^...

    Text Solution

    |

  16. The locus of a point whose chord of contact with respect to the circle...

    Text Solution

    |

  17. The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents (a)an ell...

    Text Solution

    |

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

    Text Solution

    |

  19. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

    Text Solution

    |

  20. lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 ...

    Text Solution

    |