Home
Class 11
MATHS
The polar equation of the circle with ce...

The polar equation of the circle with centre `(2, pi/2)` and radius 3, is : `r^2 - 4r sin theta = k`, then k = ?

Text Solution

Verified by Experts

5
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the circle with centre at (0,0) and radius r .

In each of the following find the equation of the circle with centre (0,2) and radius 2

In each of the following find the equation of the circle with centre (-2,3) and radius 4

A circle touches the X-axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is x^2 = 10y + k , then k = ?

C_1 is a circle with centre at the origin and radius equal to 'r' and C_2 is a circle with centre at (3r, 0) and radius equal to 2r. The number of common tangents that can be drawn to the two circle are :

The parametric equations of a circle are, x = (1)/(2)(-3+4 cos theta), y = (1)/(2)(1+4 sin theta) . Find the equation of the circle.

Find the centre of the circle whose parametric equation is x= -1+2 cos theta , y= 3+2 sin theta .

The line passing through (-1,pi/2) and perpendicular to sqrt3 sin(theta) + 2 cos (theta) = 4/r is

The number of solutions of the pair of equations 2sin^2 theta - cos(2 theta)=0,2cos^2 theta-3sin theta=0 in the interval [0,2pi] is

PATHFINDER-CIRCLE-QUESTION BANK
  1. The area of the triangle formed by joining the origin to the points of...

    Text Solution

    |

  2. A circle touches the X-axis and also touches the circle with centre (0...

    Text Solution

    |

  3. The polar equation of the circle with centre (2, pi/2) and radius 3, i...

    Text Solution

    |

  4. Two straight lines rotate about two fixed points. If they start from t...

    Text Solution

    |

  5. The side of a square are x = 1, x = 3, y = 2 and y = 4. Find the equat...

    Text Solution

    |

  6. The circle x^2 + y^2 - 4x - 8y + 16 = 0 rolls up along the tangent to ...

    Text Solution

    |

  7. If lx + my = 1 touches the circle x^2 + y^2 = a^2, prove that the poin...

    Text Solution

    |

  8. Find the equations of the tangents drawn from the point A(3, 2) to the...

    Text Solution

    |

  9. Find the value of alpha for which the point (alpha, alpha + 2) is an i...

    Text Solution

    |

  10. Prove that the tangent to the circle x^2 + y^2 - 8x + 6y + 20 = 0 and ...

    Text Solution

    |

  11. Find the equation of the circle which passes through (1, 1) and cuts o...

    Text Solution

    |

  12. A variable circle passes through the point A(a, b) and touches the x-a...

    Text Solution

    |

  13. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  14. The locus of the centre of the circle of radius 2 which rolls on the i...

    Text Solution

    |

  15. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  16. The circle described on the line joining the points (0,1),(a,b) as dia...

    Text Solution

    |

  17. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  18. One of the diameter of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  19. The coordinates of middle point of the chord 2x-5y+18=0 cut of by the ...

    Text Solution

    |

  20. If a circle passes through the point intersection of the co-ordinate a...

    Text Solution

    |