Home
Class 11
MATHS
Find the equation of the circle with rad...

Find the equation of the circle with radius 5 whose center lies on the x-axis and passes through the point (2, 3).

Text Solution

Verified by Experts

Given a circle of radius `r=5`
Given center lies on `x` axis.
so, let the center be `(h,0)`
Equation of circle is
...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3) .

Find the equation of the ellipse, with major axis along the x-axis and passing through the points (4,3) and (-1,4)

Find the equation of the parabola which has its axis along the x -axis and passes through the points (3,2) and (-2,-1) .

Find the equation to the circle which touches the x-axis at the origin and passes through the point (h, k).

Find the equation to the circle which touches the y-axis at the origin and passes through the point (alpha, beta) .

Find the equation of the circle which touches the x-axis and whose center is (1, 2).

Find the equation of the parabola which is symmetric about y-axis, and passes through the point (2,-3) .

(a) Find the equation of the straight line parallel to the x-axis and passing through the point (-3,-5) .

Find the equation of the circle whose centre is the points (2,-3) and radius 5 units.

Find the equation of the hyperboth whose axes are the axes of coordinates and which passes through the points (5,0) and ( -7,(2)/(5) ).

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of the circle having center at (2,3) and which tou...

    Text Solution

    |

  2. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |

  3. Find the equation of the circle with radius 5 whose center lies on the...

    Text Solution

    |

  4. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  5. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

    Text Solution

    |

  6. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  7. Find the equation of the circle having radius 5 and which touches line...

    Text Solution

    |

  8. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  11. Tangents are drawn to x^2+y^2=1 from any arbitrary point P on the line...

    Text Solution

    |

  12. Find the length of the tangent drawn from any point on the circle x^2+...

    Text Solution

    |

  13. Find the locus of a point which moves so that the ratio of the lengths...

    Text Solution

    |

  14. The tangent at any point P on the circle x^2+y^2=4 meets the coordinat...

    Text Solution

    |

  15. If a line passing through the origin touches the circle (x-4)^2+(y+5)^...

    Text Solution

    |

  16. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  17. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

    Text Solution

    |

  18. The chord of contact of tangents drawn from a point on the circle x^2 ...

    Text Solution

    |

  19. The lengths of the tangents from any point on the circle 15x^(2)+15y^(...

    Text Solution

    |

  20. Find the equation of the normal to the circle x^2+y^2=9 at the point (...

    Text Solution

    |