Home
Class 12
MATHS
The line x/a+y/b=1 cuts the coordinate a...

The line `x/a+y/b=1` cuts the coordinate axes at a and B a line perpendicular to AB meets the axes in P and Q. The equation of the locus of the point of intersection of the lines AQ and BP is

A

`x^(2)+y^(2)=a^(2)+b^(2)`

B

`x^(2)+y^(2)=a^(2)`

C

`x^(2)+y^(2)-ax-by=0`

D

`x^(2)+y^(2)+ax+by=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 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

The line x+y=1 cuts the coordinate axes at P and Q and a line perpendicular to it meet the axes R and S. The equation to the locus of the intersection of lines PS and QR is

A straight line (x)/(a)+(y)/(b)=1 meets the axes in A, B.A line perpendicular to AB meets the axes in P and Q. The locus of point intersection of AQ and BP is

The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

The line 4x+3y+1=0 cuts the axes at A and B. The equation to the perpendicular bisector of AB is

The line x/a-y/b=1 meets the X-axis at P. Find the equation of the line perpendicular to this line at P.

A line meets the coordinate axes at A and B such that the centroid of DeltaOAB is (1, 2) . The equation of the line AB is

A point P moves on the fixed plane (x)/(a)+(y)/(b)+(z)/(c )=1 the plane through the point P and perpendicular to the line bar(OP) where O=(0,0,0) meets coordinate axes in A, B, C. Show that the locus of the point of intersection of the planes through A, B, C and parallel to the cooridnate planes is (1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=(1)/(ax)+(1)/(by)+(1)/(cz) .

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The circle described on the line joining the points (0,1), (a,b) as di...

    Text Solution

    |

  2. The equation of the circle passing through (3,0) and (0,4) and having ...

    Text Solution

    |

  3. The line x/a+y/b=1 cuts the coordinate axes at a and B a line perpendi...

    Text Solution

    |

  4. A(cos theta, sin theta), B (sin theta,- cos theta) are two points then...

    Text Solution

    |

  5. A circle of radius r passes through the origin and meets the axes at A...

    Text Solution

    |

  6. A rod AB of length 3 units moves vertically with its bottom B always a...

    Text Solution

    |

  7. A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its si...

    Text Solution

    |

  8. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

    Text Solution

    |

  9. Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in th...

    Text Solution

    |

  10. The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 i...

    Text Solution

    |

  11. The circle passing through (0,0),(a,0), (0,b) is

    Text Solution

    |

  12. The radius of the circle passing through the points (0,0),(0,3),(4,0) ...

    Text Solution

    |

  13. If a square of side 10 is inscribed in a circle then radius of the cir...

    Text Solution

    |

  14. If the lines lx+2y +3=0 and 2y+mx+4=0 cut the co-ordinate axes in conc...

    Text Solution

    |

  15. If the lines 2x-3y+7=0, 3x+ky+5=0 cut the coordinate axes in concyclie...

    Text Solution

    |

  16. The lines 2x+3y+19=0 and 9x+6y-17=0 cuts the coordinate axes in

    Text Solution

    |

  17. If the points (3,0),(0,4),(0,0) and (k,4) are concylic then k=

    Text Solution

    |

  18. If the lines x-2y+3=0, 3x+ky+7=0 cut the coordinate axes in concylic p...

    Text Solution

    |

  19. ABCD is a rectangle wih sides AB=p, BC=q,. If AB and AD are taken nega...

    Text Solution

    |

  20. Find the equation of the circle passing through the points (3,4) (...

    Text Solution

    |