Home
Class 12
MATHS
The condition that the circles which pas...

The condition that the circles which passes through the points `(0,a),(0,-a)` and touch the line `y= mx+c` will cut orthogonally is

A

`c^(2) = a^(2) (1 + m^(2)) `

B

`c^(2) = a^(2) (2 + m^(2))`

C

`c^(2)= a^(2) (3 + m^(2))`

D

`c^(2) = a^(2) (4 + m^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -1)|9 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET -2)|1 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-4)|12 Videos

  • THE PLANE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 4|4 Videos

Similar Questions

Explore conceptually related problems

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

The equation of the circle which passes through the origin has its centre on the line x+y=4 and cuts orthogonally the circle x^2+y^2-4x+2y+4=0

The centre of the circle passing through the point (0, 1) and touching the curve y=x^(2) at (2, 4) is

If the line y = mx+c passing through the points (0,3),(4,0) then intercept is

If the line y = mx+c passing through the points (0,3),(4,0) then intercept is

Find the equation of the circle which passes through the point (2,0), (0,2) and orthogonally to the circle 2x^2 + 2y^2 + 5x - 6y + 4 = 0 .

Find the equation of the circle which passes through the points (2,0)(0,2) and orthogonal to the circle 2x^2+2y^2+5x-6y+4=0 .

Show that the equation of the circle which passes through the point (-1,7) and which touches the straight line x=y at (1,1) is x^2+y^2+3x-7y+2=0

The circle through the two points (-2,5),(0,0) and intersecting x^2+y^2-4x+3y-1=0 orthogonally is

DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The equation of the circle cutting orthogonally the circles x^(2) + y...

    Text Solution

    |

  2. The equation of the circle cutting orthogonally the circule x^(2) + y...

    Text Solution

    |

  3. The condition that the circles which passes through the points (0,a),(...

    Text Solution

    |

  4. The locus of the centre of the circle which cuts the circles x^(2) + ...

    Text Solution

    |

  5. The locus of the centre of the circle which cuts the circles x^(2) + ...

    Text Solution

    |

  6. (1, 2) is a point on the circle x^2 + y^2 + 2x - 6y + 5 = 0 which is o...

    Text Solution

    |

  7. The point (3,1) is a point on a circle C with centre (2,3) and C is or...

    Text Solution

    |

  8. The points A(2, 3) and B(-7, -12) are conjugate points w.r.t to the ci...

    Text Solution

    |

  9. The locus of centres of all circles which touch the line x = 2a and cu...

    Text Solution

    |

  10. If a circle passes through the point (a,b) and cuts the circle x^(2) ...

    Text Solution

    |

  11. the radical axis of the circles x^(2) + y^(2) + 3x + 4y - 5 = 0 " ...

    Text Solution

    |

  12. The radical axis of the circles x^(2) + y^(2) - 6x - 4y - 44 = 0 " an...

    Text Solution

    |

  13. The equation of the radical axis of the pair of circles 7x^(2) + 7y^(...

    Text Solution

    |

  14. the slope of the radical axis of the circles x^(2) + y^(2) + 3x + 4y ...

    Text Solution

    |

  15. Let C(1) -= x^(2) + y^(2) - 2x - 4y = 0 . C(2) = x^(2) + y^(2) + 2x ...

    Text Solution

    |

  16. If the radical axis of two circles with centres A and B bisects AB the...

    Text Solution

    |

  17. The centres of the circles are (a,c) and (b,c) and their radical axis ...

    Text Solution

    |

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

    Text Solution

    |

  19. A line l meets the circle x^(2) + y^(2) = 61 in A , B and P(-5,6) i...

    Text Solution

    |

  20. The circles x^(2) + y^(2) = 1 , x^(2) + y^(2) + 6x - 2y = 1 " and " ...

    Text Solution

    |