Home
Class 11
MATHS
The centre of circle inscribed in a sq...

The centre of circle inscribed in a square formed by lines `x^2-8x+12=0` and `y^2-14 y+45=0` is a.`(4,7)` b.`(7,4)` c.`(9,4)` d.`(4,9)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The centre of circle inscribed in a square formed by lines x^2-8x+12=0 and y^2-14 y+45=0 is (4,7) (7,4) (9,4) (4,9)

Centre of the circle inscribed in a rectangle formed by the lines x^2 - 8x+12 = 0 and y^2 - 14y +40=0 is

The coordinates of the centre of the circle inscribed in the square formed by the lines x=2, x=6, y=5 and y=9 is:

Write the coordinates of the center of the circle inscribed in the square formed by the lines x=2,\ x=6,\ y=5\ and\ y=9.

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

Area of the equilateral triangle inscribed in the circle x^(2) + y^(2) - 7x + 9y + 5 = 0 , is …………

The bisector of the acute angle formed between the lines 4x - 3y + 7 = 0 and 3x - 4y + 14 = 0 has the equation

The bisector of the acute angle formed between the lines 4x - 3y + 7 = 0 and 3x - 4y + 14 = 0 has the equation

Find the centre and radius of the circles x^2+y^2-4x-8y-45=0

The equation of the radical axis of the pair of circles 7x^2+7y^2-7x+14y+18=0 and 4x^2+4y^2-7x+8y+20=0

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    Text Solution

    |

  2. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  3. The centre of circle inscribed in a square formed by lines x^2-8x+12...

    Text Solution

    |

  4. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

  5. Consider square A B C D of side length 1. Let P be the set of all segm...

    Text Solution

    |

  6. The number of intergral value of y for which the chord of the circle x...

    Text Solution

    |

  7. Statement 1 : The circle having equation x^2+y^2-2x+6y+5=0 intersects ...

    Text Solution

    |

  8. Statement 1 : The center of the circle having x+y=3 and x-y=1 as its n...

    Text Solution

    |

  9. Statement 1 : The equations of the straight lines joining the origi...

    Text Solution

    |

  10. Statement 1 : Points A(1,0),B(2,3),C(5,3),a n dD(6,0) are concyclic. S...

    Text Solution

    |

  11. Statement I The chord of contact of tangent from three points A, B and...

    Text Solution

    |

  12. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

    Text Solution

    |

  13. The circles having radii r1 and r2 intersect orthogonally. Find the le...

    Text Solution

    |

  14. Tangents P A and P B are drawn to x^2+y^2=9 from any arbitrary poin...

    Text Solution

    |

  15. The two circles which pass through (0,a)a n d(0,-a) and touch the line...

    Text Solution

    |

  16. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

    Text Solution

    |

  17. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  18. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  19. Let the base A B of a triangle A B C be fixed and the vertex C lies...

    Text Solution

    |

  20. If the chord of contact of tangents from a point P to a given circle p...

    Text Solution

    |