Home
Class 12
MATHS
Circles are drawn passing through the or...

Circles are drawn passing through the origin O to intersect the coordinate axes at point P and Q such that `m .OP + n .OQ = k`, then the fixed point satisfying all of them, is given by

Promotional Banner

Topper's Solved these Questions

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • Binomial Theorem for Positive Integrel Index

    A DAS GUPTA|Exercise Exercise|113 Videos

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

Similar Questions

Explore conceptually related problems

If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of the foot of perpendicular from O on AB is:

A line is drawn through the point (1,2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ ,where 0 is the origin.If the area of the triangle OPQ is least,the slope of the line PQ is k ,then |k| =

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct point P and Q. then the locus of the mid- point of PQ is

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

A straight line passing through the point (87, 33) cuts the positive direction of the coordinate axes at the point P and Q. If Q is the origin then the minimum area of the triangle OPQ is.

The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q.If O is the origin and the rectangle OPRQ is completed then the locus of R is

Let (h,k) be a fixed point,where h>0,k>0. A straight line passing through this point cuts the positive direction of the coordinate axes at the point P and Q. Find the minimum area of triangle OPQ,O being the origin.

A DAS GUPTA-Circles-EXERCISE
  1. Circles are drawn passing through the origin O to intersect the coordi...

    Text Solution

    |

  2. Find the equation of a circle whose diameter has the length 20 and the...

    Text Solution

    |

  3. Find the equations of the circles touching y-axis at (0,3) and making ...

    Text Solution

    |

  4. Find the equation of the circle which passes through the points (1,-2)...

    Text Solution

    |

  5. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  6. Let A = (0,1) and B=(-p/2,(q+1)/2) be two fixed points in a plane. Let...

    Text Solution

    |

  7. Find the area of the triangle formed by the lines y = x, y= 2x, y=3x+4

    Text Solution

    |

  8. Find the length of the chord x^2+y^2-4y=0 along the line x+y=1. Also f...

    Text Solution

    |

  9. Prove that the circles x^2 + y^2-9 = 4r^2,r = 1,2,3 cut off equal int...

    Text Solution

    |

  10. Determine all those values of p in R for which two chords can be drawn...

    Text Solution

    |

  11. A circle of radius 2 lies in the first quadrant and touches both the a...

    Text Solution

    |

  12. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

    Text Solution

    |

  13. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  14. Prove that x^2+y^2=a^2 and (x-2a)^2+y^2=a^2 are two equal circles touc...

    Text Solution

    |

  15. The equation of the circle which touches the circle x^2+y^2-6x+6y+17 =...

    Text Solution

    |

  16. Find the area of equilateral triangle inscribed in a circle x^2+y^2+2g...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  19. The equation of one of the circles which touch the pair of lines x^2 -...

    Text Solution

    |

  20. Lines 5x + 12 y -10=0 and 5x - 12y - 40=0touch a circle C(1) of diamet...

    Text Solution

    |

  21. Find the equation of the circle passing through the points A(4,3). B(...

    Text Solution

    |