Home
Class 11
MATHS
If two circles (x-1)^2+(y-3)^2=r^2 and x...

If two circles `(x-1)^2+(y-3)^2=r^2` and `x^2+y^2-8x+2y+8=0` intersect in two distinct points then

A

`2ltrlt8`

B

`rlt2`

C

r=2

D

`rgt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The circles x^(2)+y^(2)-10x+16=0 and x^(2)+y^(2)=a^(2) intersect at two distinct points if

If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two distinct points, then find the values of m .

The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

The circle with equation x^2 +y^2 = 1 intersects the line y= 7x+5 at two distinct points A and B. Let C be the point at which the positive x-axis intersects the circle. The angle ACB is

Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation of the circle through their points of intersection and the point (1, 1) is x^2+y^2-6x+4=0 x^2+y^2-3x+1=0 x^2+y^2-4y+2=0 none of these

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

Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1 : Both the circles intersect each other at two distinct points. Statement 2 : The sum of radii of the two circles is greater than the distance between their centers. (a) Statement 1 and Statement 2 , both are correct. Statement 2 is correct explanation for Statement 1. (b) Statement 1 and Statement 2 , both are correct. Statement 2 is not the correct explanation for Statement 1. (c) Statement 1 is correct but Statement 2 is not correct. (d) Statement 2 is correct but Statement 1 is not correct.

If the two circles 2x^(2) +2y^(2) -3x+6y+k=0 and x^(2) +y^(2) -4x +10y +16=0 cut orthogonally, then the vlaue of k is-

PATHFINDER-CIRCLE-QUESTION BANK
  1. The number of common tangents that can be drawn to the circles x^2+y^2...

    Text Solution

    |

  2. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

    Text Solution

    |

  3. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

  4. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

    Text Solution

    |

  5. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  6. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

    Text Solution

    |

  7. The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0...

    Text Solution

    |

  8. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

    Text Solution

    |

  9. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

    Text Solution

    |

  10. The equation of the circle whose diameter is the common chord of the c...

    Text Solution

    |

  11. A circle of the coaxial system with limiting points (0, 0) & (1, 0) is

    Text Solution

    |

  12. If the circle x^2+y^2+2a1x+c=0 lies completely inside the circle x^2+y...

    Text Solution

    |

  13. The triangle PQR is inscribed in the circle x^2+y^2=25. If Q and R hav...

    Text Solution

    |

  14. If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...

    Text Solution

    |

  15. The locus of the centre of the circle which passes through the origin ...

    Text Solution

    |

  16. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  17. In a triangle ABC, right angled at A, on the leg AC as diameter, semic...

    Text Solution

    |

  18. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  19. The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...

    Text Solution

    |

  20. A pair of tangents are drawn to a unit circle with centre at the origi...

    Text Solution

    |