Home
Class 11
MATHS
A square is formed by following two pair...

A square is formed by following two pairs of straight lines : `y^2 -14y + 45 =0` and `x^2 - 8x + 12=0` . A circle is inscribed in it. The centre of the circle is :

A

(7, 4)

B

(4, 7)

C

(3, 7)

D

`(3/8,4)` .

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

The centre of the circle x^2+y^2+8x+10y-8=0 is:

If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of area 49pi square units, the equation of the circle is

The centre of the circle x^(2)+y^(2)-6x+4y-1=0 is

Find the equations of the bisectors of the angles formed by the following pairs of lines : x+2y+3 =0 and 2x+y-2=0.

Find the equations of the bisectors of the angles formed by the following pairs of lines : 4x+3y-5=0 and 5x + 12y-41=0.

If the lines 3x - 4y- 7 = 0 and 2x - 3y- 5 = 0 are two diameters of a circle of area 49 pi square units, then the equation of the circle is :

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.

Two pairs of straight lines have the equations y^(2)+xy-12x^(2)=0andax^(2)+2hxy+by^(2)=0 . One line will be common among them if

Find the equations of the bisectors of the angles formed by the following pairs of lines : 3x+4y+13=0 = and 12x- 5y + 32=0.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

    Text Solution

    |

  2. The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) i...

    Text Solution

    |

  3. A square is formed by following two pairs of straight lines : y^2 -14...

    Text Solution

    |

  4. The focal chord of y^2= 16x is tangent to (x-6)^2+ y^2= 2, then the po...

    Text Solution

    |

  5. The area (in sq units) of the quadrilateral formed by the tangents at ...

    Text Solution

    |

  6. Which one of the following is independent of alpha in the hyperbola (0...

    Text Solution

    |

  7. Angle between tangents drawn from the point (1, 4) to the parabola y^2...

    Text Solution

    |

  8. The eccentricity of an ellipse, with its centre the origin, is 1/2. If...

    Text Solution

    |

  9. If the line 2x+sqrt(6)y=2 touches the hyperbola x^(2)-2y^(2)=4, then t...

    Text Solution

    |

  10. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  11. If non-zero numbers a,b,c are in H.P., then the straight line x/a+ y/b...

    Text Solution

    |

  12. If a vertex of a triangle is (1, 1) and the mid-points of two side thr...

    Text Solution

    |

  13. If the circles : x^2+ y^2+2ax + cy +a=0 and x^2+ y^2-3ax+dy -1=0 inter...

    Text Solution

    |

  14. A circle touches the X-axis and also touches the centre at (0,3) and r...

    Text Solution

    |

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

    Text Solution

    |

  16. An ellipse has OB as semi minor axis, F and F' its focii eccentricity ...

    Text Solution

    |

  17. The locus of a point P(alpha, beta) moving under the condition that th...

    Text Solution

    |

  18. A circle is given by x^2 + (y-1)^2 = 1, another circle C touches it ex...

    Text Solution

    |

  19. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

    Text Solution

    |

  20. A straight line through the point A(3,4) is such that its intercept be...

    Text Solution

    |