Home
Class 12
MATHS
Find the equation of a circle which touc...

Find the equation of a circle which touches `y-axis ` at a distance of `4u n i t s` from the origin and cuts an intercept of `6u n i t s` along the positive direction of `x-axis`

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)pm10xpm8y+16=0`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle, which touches the axis of x at a distance 3 from the Origin and intercepts a length 6 on the axis of y.

Find the equation of the circle, which touches the axis of y at a distance of + 4 from the origin and intercepts a length 6 on the axis of y and cuts off an intercept 6 from the axis of x.

Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length 2sqrt7 on y-axis is (are)

Find the equation of the line, which intersects : the x-axis at a distance of 3 units to the left of origin with slope −2.

Find the equations of the circles touching y-axis at (0,3) and making an intercept of 8 units on the x-axis.

In the following , find the equation of the line which satisfy the given conditions: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^@ with positive direction of the x-axis.

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find the equation of a circle, which touches the line x+ y = 5 at the point (-2, 7) and cuts the circle x^2+ y^2+ 4x - 6y +9 =0 orthogonally.

Write down the equation of a line parallel to the x-axis (i) at a distance of 5 units above the x-axis. (ii) at a distance of 4 units below the x-axis.

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the equation of a circle which touches y-axis at a distance of 4...

    Text Solution

    |

  2. Find the derivative of (a/x^4 - b/x^2 + cosx)

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  5. Find the derivative of (4x - 2)

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Find the derivative of (ax + b)^n

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-1,1...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |