Home
Class 12
MATHS
Find the centre and radius of the circle...

Find the centre and radius of the circle `x^(2) + y^(2) + 6x -10y -2 =0`

Text Solution

AI Generated Solution

To find the center and radius of the circle given by the equation \( x^2 + y^2 + 6x - 10y - 2 = 0 \), we can follow these steps: ### Step 1: Rewrite the equation in standard form The general equation of a circle is given by: \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] We need to compare our equation with this general form. The given equation is: ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try ypurself|42 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the centre and radius of the circle 2x^(2) + 2y^(2) - x = 0

Find the centre and radius of the circle x^(2) + y^(2) - 6x + 4y - 12 =0 .

Find the centre and radius of the circle 3x^(2) +3y^(2) - 6x +9y - 8 =0 .

Find the centre and radius of the circle 3x^(2)+ 3y^(2) - 6x + 4y - 4 = 0

Find the centre and radius of the circle 3x^2 + 3y^2 - 8x - 10y + 3=0

Find the centre and radius of the circles : x^2 + y^2 - 8x - 12y - 48=0

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

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

Find the centre and radius of the circle 2x^(2)+2y^(2)=3x-5y+7

Find the centre and radius of the circle 4x^(2) + 4y^(2) + 16y -4x = 19.

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION - J ( Aakash Challengers Questions )
  1. Find the centre and radius of the circle x^(2) + y^(2) + 6x -10y -2 =0

    Text Solution

    |

  2. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  3. The area of the triangle formed by the tangent at (3, 4) to the circle...

    Text Solution

    |

  4. If P(1), P(2), P(3) are the perimeters of the three circles, S(1) :...

    Text Solution

    |

  5. If (1, a), (b, 2) are conjugate points with repect to the circle x^(2)...

    Text Solution

    |

  6. Area of the equilateral triangle inscribed in the circle x^(2) + y^(2)...

    Text Solution

    |

  7. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

    Text Solution

    |

  8. The range of parameter ' a ' for which the variable line y=2x+a lies b...

    Text Solution

    |

  9. A planet of mass m moves along an ellipse around the sun (mass M) so t...

    Text Solution

    |

  10. There are exactly two points on the ellipse x^2/a^2+y^2/b^2=1,whose di...

    Text Solution

    |

  11. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

    Text Solution

    |

  12. A point P moves such that the sum of the slopes of the normals drawn f...

    Text Solution

    |

  13. A rectangular hyperbola whose centre is C is cut by any circle of radi...

    Text Solution

    |

  14. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

    Text Solution

    |

  15. Tangents are drawn from the points on a tangent of the hyperbola x^2-y...

    Text Solution

    |

  16. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

    Text Solution

    |

  17. Let F(x) = (1+b^(2))x^(2) + 2bx + 1. The minimum value of F(x) is the ...

    Text Solution

    |