Home
Class 12
MATHS
If two distinct chords, drawn from the p...

If two distinct chords, drawn from the point (p,q) on the circle `x^(2)+y^(2)=px+qy, `where `pq!=0` are bisected by x-axis then show that `p^(2)gt8q^(2)`.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( LONG ANSWER QUESTIONS)|3 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

If two distinct chords, drawn from the point (p,q) on the circle x^(2)+y^(2)-px-qy=0 ("where pq" ne 0) are bisected by the x-axis then

If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2)=4 at P and Q then AP .AQ=

If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets the straight line 5x-2y+6=0 at a point Q on the y-axis then show that PQ=5.

If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet the line 5x-2y+6=0 at a point Q on y-axis then PQ=

From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended to a point P, such that AP=2AB. The locus of P is

Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2fy+c=0 . If these tangents cut the coordinate axes in concyclic points show hat the locus of P is (x+y+g+f)(x-y+g-f)=0

From origin chords are drawn to the cirlce x^(2)-y^(2)-2px=0 then locus of midpoints of all such chords is

Angle between tangents drawn from a points P to circle x^(2)+y^(2)-4x-8y+8=0 is 60^(@) then length of chord of contact of P is

AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. Show that the point of intersection of the line 4x-3y-10=0 and the cir...

    Text Solution

    |

  2. Show that the equation of a line passing through the point (11,-2) and...

    Text Solution

    |

  3. If x+3y=0 is a tangent to the circle with centre at (-1,2) then show t...

    Text Solution

    |

  4. Show that the radius of the circle lying in the first quadrant, passin...

    Text Solution

    |

  5. A circle touches Y-axis at (0,3) and makes an intercept 2 units on the...

    Text Solution

    |

  6. Two circles, each of radius 5 have a common tangent at (1,1), whose eq...

    Text Solution

    |

  7. Show that the angle between the tangents drawn from (-1,3) to the circ...

    Text Solution

    |

  8. If the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 in...

    Text Solution

    |

  9. Show that the centre of the circle passing through the points (0,0) an...

    Text Solution

    |

  10. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

    Text Solution

    |

  11. A circle touches the X-axis and also touches externally the circle wit...

    Text Solution

    |

  12. Let C be the circle with centre (0,0) and radius 3. Show that he equat...

    Text Solution

    |

  13. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1. Show...

    Text Solution

    |

  14. Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2...

    Text Solution

    |

  15. Show that the area of the triangle formed by the tangents from the poi...

    Text Solution

    |

  16. Tangents are drawn from each point on the line 2x+y=4 to the circle x...

    Text Solution

    |

  17. Show that the equation of the locus of the mid points of the chords of...

    Text Solution

    |

  18. Show tha the tangents drawn from the origin in to the circle x^(2)+y^(...

    Text Solution

    |

  19. Let a circle be given by 2x(x-a)+y(2y-b)=0, ab!=0. Show that the con...

    Text Solution

    |

  20. Two tangents are drawn from a point P to the circle x^(2)+y^(2)+2gx+2...

    Text Solution

    |