Home
Class 12
MATHS
The equation of incircle of the triangle...

The equation of incircle of the triangle formed by common tangents to the circles `x^(2)+y^(2)=4 and x^(2)+y^(2)-6x+8=0` is

A

`x^(2)+y^(2)=1`

B

`x^(2)+y^(2)-6x+8=0`

C

`x^(2)+y^(2)-6x+9=0`

D

`x^(2)-y^(2)=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 102

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 104

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The equation of an ex - circle of a triangle formed by the common tangents to the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-6x+8=0 is

Find the area of the triangle formed by the common tangents to the circles x^(2)+y^(2)+2x=0 and x^(2)+y^(2)-6x=0

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 are

The point lying on common tangent to the circles x^(2)+y^(2)=4 and x^(2)+y^(2)+6x+8y-24=0 is

The number of common tangents to the circles x^(2)+y^(2)-y=0and x^(2)+y^(2)+y=0 is

The lengths of the common tangents of the circles x^(2)+y^(2)+4x=0 and x^(2)+y^(2)-6x=0 is

NTA MOCK TESTS-NTA JEE MOCK TEST 103-MATHEMATICS
  1. Let alpha, beta and gamma be the roots of equation x^(3)+x+1=0, then (...

    Text Solution

    |

  2. Let l, m and n are three distinct numbers in arithmetic progression. A...

    Text Solution

    |

  3. The equation of incircle of the triangle formed by common tangents to ...

    Text Solution

    |

  4. The tangent to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 at point P lyin...

    Text Solution

    |

  5. Let the tangents to the parabola y^(2)=4ax drawn from point P have slo...

    Text Solution

    |

  6. In the triangle ABC, vertices A, B, C are (1, 2), (3, 1), (-1, 6) resp...

    Text Solution

    |

  7. The image of the line (x-2)/(2)=(y-3)/(-3)=(z-4)/(1) in the plane x+y+...

    Text Solution

    |

  8. Let veca=hati+hatj-hatk and vecb=2hati-hatj+hatk. If vecc is a non - z...

    Text Solution

    |

  9. Let f:R rarrR, f(x)=x^(4)-8x^(3)+22x^(2)-24x+c. If sum of all extrem...

    Text Solution

    |

  10. If f(x) is a continuous function such that its value AA x in R is a r...

    Text Solution

    |

  11. The domain of the function f(x)=sqrt((x^(2)-8x+12).ln^(2)(x-3)) is

    Text Solution

    |

  12. The area bounded by y=sqrt(1-x^(2)) and y=x^(3)-x is divided by y - ax...

    Text Solution

    |

  13. The straight line y=2x meets y=f(x) at P, where f(x) is a solution of ...

    Text Solution

    |

  14. If int(2x^(2)+5)/(x^(2)+a)dx=f(x), where f(x) is a polynomial or ratio...

    Text Solution

    |

  15. Negation of the statement, ''I will work hard and pary'' is

    Text Solution

    |

  16. The solution set of the inequality (tan^(-1)x)^(2) le (tan^(-1)x) +6 i...

    Text Solution

    |

  17. Let the matrix A=[(1,1),(2,2)] and B=A+A^(2)+A^(3)+A^(4). If B=lambdaA...

    Text Solution

    |

  18. The number of solution of the equation 2a+3b+6c=60, where a, b,c in N,...

    Text Solution

    |

  19. The value of the integral int(0)^(8)(x^(2))/(x^(2)+8x+32) dx is equal ...

    Text Solution

    |

  20. A person standing at point P sees angle of elevation of the top of a b...

    Text Solution

    |