Home
Class 11
MATHS
A circle touches the X-axis and also tou...

A circle touches the X-axis and also touches the centre at (0,3) and radius 2. The locus of the centre of the circle is

A

a circle

B

an ellipse

C

a parabola

D

a hyperbola.

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

A circle touches the x-axis and also touches the circle with center (0,3) and radius 2 externally. The locus of the center of the circle is

A circle cuts two perpendicular lines so that each intercept is of given length. The locus of the centre of the circle is conic whose eccentricity is

Find the equation of the circle whose centre is (-3, 2) and radius 4.

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of (2pi)/3 at its center is

Find the equations of the following circle : Centre (0, 2) and radius 2.

Find the equation of the circle whose centre is the point (1,-2) and which passes through the centre of the circle x^2 + y^2 + 2y = 3 .

ABCD is a square of side length 2 units. C_(1) is the circle touching all the sides of the square ABCD and C_(2) is the circumcircle of square ABCD. L is a fixed line in the same plane and R is fixed point. If a circle is such that it touches the line L and the circle C_(1) externally, such that both the circles are on the same side of the line, then the locus of centre of the circle is

Prove that a diameter of a circle which bisects a chord of the circle, also bisects the angles subtended by the chord at the centre of the circle.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If a vertex of a triangle is (1, 1) and the mid-points of two side thr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If (a,a^(2)) falls inside the angle made by the lines y = x/2 , x gt ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The locus of the vertices of the family of parabolas y=(a^3x^2)/3+(a^2...

    Text Solution

    |

  14. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  15. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  16. The equation of the common tangents to the parabola y = x^2 and y=- (x...

    Text Solution

    |

  17. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)-(...

    Text Solution

    |

  18. If one of the lines of my^2+(1-m^2) xy-mx^2=0 is a bisector of the ang...

    Text Solution

    |

  19. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

    Text Solution

    |

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

    Text Solution

    |