Home
Class 12
MATHS
Two circles x^(2) + y^(2) + ax + ay - 7...

Two circles `x^(2) + y^(2) + ax + ay - 7 = 0` and `x^(2) + y^(2) - 10x + 2ay + 1 = 0` will cut orthogonally if the value of a is

A

3

B

2

C

`-2`

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -D|24 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION -E ( Assertion-Reason Type Questions )|18 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2) + y^(2) - 4x - 6y + 4 = 0 are orthogonal , find k.

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is

If the circles x ^(2) + y ^(2) + 5x -6y-1=0 and x ^(2) + y^(2) +ax -y +1=0 intersect orthogonally (the tangents at the point of intersection of the circles are at right angles), the value of a is

If the curves ay + x^(2) =7 and x^(3) =y cut orthogonally at (1,1) then the value of a is

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

Find the centre of the circle that passes through the point (1,0) and cutting the circles x^(2) + y ^(2) -2x + 4y + 1=0 and x ^(2) + y ^(2) + 6x -2y + 1=0 orthogonally is

If the circles x^(2)+y^(2)+10x+8y+c=0 and x^(2)+y^(2)-10x-8y+c=0 cut onbogonally,then the value of 'C'' is

The circles ax^2+ay^2+2g_1 x +2f_1 y+c_1 = 0 and bx_2+by^2+2g_2x+2f_2y+c_2=0 a ne 0 and b ne 0 0cut orthogonally if

For what value of k is the circle x^(2)+y^(2)+5x+3y+7=0 and x^(2)+y^(2)-8x+6y+k=0 cut each other orthogonally.

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-C
  1. The common tangents to the circles x^2 + y^2 + 2x =0 and x^2 + y^2-6x=...

    Text Solution

    |

  2. C(1): x^(2) + y^(2) = 25, C(2) : x^(2) + y^(2) - 2x - 4y -7 = 0 be two...

    Text Solution

    |

  3. Two circles x^(2) + y^(2) + ax + ay - 7 = 0 and x^(2) + y^(2) - 10x ...

    Text Solution

    |

  4. The positive integral value of lambda, for which line 4x + 3y - 16lam...

    Text Solution

    |

  5. If the area of a quadrilateral formed by the tangents from the origin ...

    Text Solution

    |

  6. If (a cos theta(1), a sin theta(1)), ( a cos theta(2), a sin theta(2))...

    Text Solution

    |

  7. Equation of tangents drawn from (0, 0) to x^(2) + y^(2) - 6x -6y + 9 =...

    Text Solution

    |

  8. The locus of the centre of the circle which moves such that it touches...

    Text Solution

    |

  9. If a point (a, sqrt(a)) lies in region bounded between the circles x^(...

    Text Solution

    |

  10. Tangents and normal from a point (3, 1) to circle C whose equation x^(...

    Text Solution

    |

  11. C(1) and C(2) are two concentrate circles, the radius of C(2) being t...

    Text Solution

    |

  12. The equation (s) of common tangents (s) to the two circles x^(2) + y^...

    Text Solution

    |

  13. The equation (s) of circle (s) touching 12x - 5y = 7 at (1, 1) and hav...

    Text Solution

    |

  14. Let circle cuts ortholognally each of the three circles x^(2) + y^(2) ...

    Text Solution

    |

  15. The equation of a circle touching x-axis at (-4, 0) and cutting off an...

    Text Solution

    |

  16. Let one of the vertices of the square circumseribing the circle x^(2) ...

    Text Solution

    |

  17. IF x^(2) + y^(2) - 2y - 15 + lambda (2x + y - 9) = 0 represents family...

    Text Solution

    |

  18. Let the midpoint of the chord of contact of tangents drawn from A to t...

    Text Solution

    |

  19. y^2-2x-2y+5=0 represents

    Text Solution

    |

  20. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

    Text Solution

    |