Home
Class 12
MATHS
The curve xy = c(c > 0) and the circle x...

The curve `xy = c(c > 0)` and the circle `x^2 +y^2=1` touch at two points, then distance between the points of contact is

A

1

B

2

C

`2sqrt2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
From the diagram,
PQ = Diameter of circle = 2
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CENGAGE|Exercise Exercise (Multiple)|18 Videos

  • HYPERBOLA

    CENGAGE|Exercise Exercise (Comprehension)|21 Videos

  • HYPERBOLA

    CENGAGE|Exercise Exercise 7.6|4 Videos

  • HIGHT AND DISTANCE

    CENGAGE|Exercise JEE Previous Year|3 Videos

  • INDEFINITE INTEGRATION

    CENGAGE|Exercise Question Bank|25 Videos

Similar Questions

Explore conceptually related problems

The curve xy=c,(c>0), and the circle x^(2)+y^(2)=1 touch at two points.Then the distance between the point of contacts is 1 (b) 2(c)2sqrt(2)quad (d) none of these

Prove that the circle x^2 + y^2 -6y + 4 = 0 and the parabola y^(2) = x touch. Find the common tangent at the point of contact.

If the circles x^2+y^2+2x-8y+8=0 and x^2+y^2+10x-2y+22=0 touch each other find their point of contact

If the line x+y=1 touches the parabola y^(2)-y+x=0 ,then the coordinates of the point of contact are:

If the circle x^(2)+y^(2)-4x-6y+lambda=0 touches the axis of x, then determine the value of lambda and the point of contact

Tangent to the curve y=x^(2)+6 at a point (1,7) touches the circle x^(2)+y^(2)+16x+12y+c=0 at a point Q, then the coordinates of Q are (A)(-6,-11) (B) (-9,-13)(C)(-10,-15)(D)(-6,-7)

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-3=0 with centre C, A and B are the points of contact. Which of the following are correct?

CENGAGE-HYPERBOLA-Exercise (Single)
  1. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

    Text Solution

    |

  2. Let any double ordinate P N P ' of the hyperbola (x^2)/(25)-(y^2)/(16)...

    Text Solution

    |

  3. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

    Text Solution

    |

  4. The asymptotes of the hyperbola (x^(2))/(a(1)^(2))-(y^(2))/(b(1)^(2))=...

    Text Solution

    |

  5. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  6. If two distinct tangents can be drawn from the Point (alpha,2) on diff...

    Text Solution

    |

  7. A hyperbola passes through (2,3) and has asymptotes 3x-4y+5=0 and 12 x...

    Text Solution

    |

  8. From any point to the hyperbola ^2/a^2-y^2/b^2=1, tangents are drawn ...

    Text Solution

    |

  9. The combined equation of the asymptotes of the hyperbola 2x^2 + 5xy + ...

    Text Solution

    |

  10. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

    Text Solution

    |

  11. The center of a rectangular hyperbola lies on the line y=2xdot If one ...

    Text Solution

    |

  12. The equation of a rectangular hyperbola whose asymptotes are x=3 and y...

    Text Solution

    |

  13. If tangents O Q and O R are dawn to variable circles having radius r a...

    Text Solution

    |

  14. Four points are such that the line joining any two points is perpendic...

    Text Solution

    |

  15. If S1a n dS2 are the foci of the hyperbola whose length of the transve...

    Text Solution

    |

  16. Suppose the circle having equation x^2+y^2=3 intersects the rectangula...

    Text Solution

    |

  17. The equation of the chord joining two points (x(1),y(1)) and (x(2),y(2...

    Text Solution

    |

  18. The locus of the foot of the perpendicular from the center of the h...

    Text Solution

    |

  19. The curve xy = c(c > 0) and the circle x^2 +y^2=1 touch at two points,...

    Text Solution

    |

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

    Text Solution

    |