Home
Class 12
MATHS
Let S = 0, S' = 0 be two circle intersec...

Let S = 0, S' = 0 be two circle intersecting at two distinct points and `L_1` be their common chord, `L_2` is the line joing their centres and `L_3` is the radical axis. Then

A

`L_1` is not perpendicular to `L_2`

B

`L_1,L_2` are perpendicular

C

`L_1` is parallel to `L_2`

D

`L_1 wedge L_3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE -2.1|23 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos
  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-II (Class work)|45 Videos
  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos
  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

A line which intersects the given circle at two distinct points is called a ……

If two circles intersect at two points , then prove that their centres lie on the perpendicular bisector of the common chord.

A line p intersects two lines l and m at two distinct points observe the figure and fill in the blanks the line P is known as…..

A line p intersects two lines l and m at two distinct points observe the figure and fill in the blanks angle 4 and angle 6 is a pair of ……angles

If S = 0, S' =0 are two touching circles then angle between their radical axis and the common tangent at the at their points of contanct is

A line p intersects two lines l and m at two distinct points observe the figure and fill in the blanks angle 3 and angle 6 is a pair of angles…...

A line p intersects two lines l and m at two distinct points observe the figure and fill in the blanks angle1 and angle5 is a pair of…..angles

If S = 0, S' =0 are touching circles, then the angle between the line of centres and radical axis of S = 0, S' =0 is

If l, s are two straight lines and l cap s = Ø then l and sare

The straight line L-=X+Y+1=0 and L_1-=X+2Y+3=0 " are intersectiong, m is the slope of the straight line " L_2 " such that L is the bisector of the angle between " L_1 and L_2 " The value of " m^2 is .

AAKASH SERIES-SYSTEM OF CIRCLES-Practice Exercise
  1. The distance of the point (1, 2) from the common chord of the circles ...

    Text Solution

    |

  2. The intercept made by the radical axis of the circles x^2+y^2+6x-16=0 ...

    Text Solution

    |

  3. The centre of the cirlces cutting three circles x^2+y^2-2x-4y+4=0, x^2...

    Text Solution

    |

  4. B and C are two points on the circle x^2+y^2=a^2 point A (b,c) lies ...

    Text Solution

    |

  5. If C1 (1, 3) and C2(4, 3)are the centres of two circles whose radical ...

    Text Solution

    |

  6. The radical centre of the circles x^2+y^2=9, x^2+y^2-2x-2y-5=0 , x^2+y...

    Text Solution

    |

  7. The equation of the circle which cuts orthogonally the three circles, ...

    Text Solution

    |

  8. The equation of the circle which cuts orthogonally the three circles x...

    Text Solution

    |

  9. If A(2, -1), B(3, 1), C(1, -2) then the radical centre of the circles ...

    Text Solution

    |

  10. The length of the common chord of the two circles of radii 10, 24 whos...

    Text Solution

    |

  11. The radical axis of two circles S=0, S'=0 does not exist if

    Text Solution

    |

  12. If S = 0, S' =0 are two touching circles then angle between their radi...

    Text Solution

    |

  13. If S = 0, S' =0 are touching circles, then the angle between the line ...

    Text Solution

    |

  14. The angle between two circle inersecting at two distinct points is 90^...

    Text Solution

    |

  15. Let S = 0, S' = 0 be two circle intersecting at two distinct points an...

    Text Solution

    |

  16. The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)...

    Text Solution

    |

  17. Assertion (A): The locus of the centres of the circle through the poin...

    Text Solution

    |

  18. Assertion (A): If the circle x^2+y^2+6x-2y+k=0 bisects the circumfere...

    Text Solution

    |

  19. The length of the common chord of the circles x^2+y^2+ax+by+c=0 and x^...

    Text Solution

    |

  20. Observe the following statements: statement I: The radical centre of...

    Text Solution

    |