Home
Class 12
MATHS
The straight line through a fixed point ...

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

A

`2x+3y=xy`

B

`3x+2y=xy`

C

`3x+2y=6xy`

D

`3x+2y=6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 1: CONCEPT BUILDER|60 Videos
  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

A variable straight line passes through a fixed point (a, b) intersecting the co-ordinates axes at A & B. If 'O' is the origin, then the locus of the centroid of the triangle OAB is (A) bx+ ay-3xy=0 (B) bx+ay-2xy=0 (C) ax+by-3xy=0 (D) ax+by-2xy=0.

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.

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin 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 :

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

Line segment AB of fixed length c slides between coordinate axes such that its ends A and B lie on the axes. If O is origin and rectangle OAPB is completed, then show that the locus of the foot of the perpendicular drawn from P to AB is x^((2)/(3)) + y^((2)/(3)) = c^((2)/(3)).

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.

The variable line drawn through the point (1,3) meets the x -axis at A and y -axis at B .If the rectangle OAPB is completed.Where O isthe origin,then locus of ^(-)P' is

DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 2: CONCEPT APPLICATOR
  1. The straight line through a fixed point (2,3) intersects the coordinat...

    Text Solution

    |

  2. If the point P(x, y) be equidistant from the points A(a + b, b - a) an...

    Text Solution

    |

  3. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  4. The co-ordinates of the orthocentre of the triangle bounded by the lin...

    Text Solution

    |

  5. The equations of the sided of a triangle are x+y-5=0,x-y+1=0, and x+y-...

    Text Solution

    |

  6. A light ray coming along the line 3x+4y=5 gets reflected from the line...

    Text Solution

    |

  7. A line AB makes zero intercepts on X-axis and Y-axis and it is perpend...

    Text Solution

    |

  8. A light ray emerging from the point source placed at P(2,3) is reflect...

    Text Solution

    |

  9. If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....

    Text Solution

    |

  10. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the lin...

    Text Solution

    |

  11. For which value of 'p', y^(2)+xy+px^(2)-x-2y=0 represents a pair of st...

    Text Solution

    |

  12. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)...

    Text Solution

    |

  13. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  14. A vertex of an equileteral triangle is (2;3) and the equation of the o...

    Text Solution

    |

  15. The value of lambda for which the lines joining the point of intersect...

    Text Solution

    |

  16. For a gt b gt c gt 0 if the distance between (1,1) and the point of i...

    Text Solution

    |

  17. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...

    Text Solution

    |

  18. Find the image of the point (4,-13) in the line 5x+y+6=0.

    Text Solution

    |

  19. If a pair of perpendicular straight lines drawn through the origin ...

    Text Solution

    |

  20. The equation of straight line passing through (-a ,0) and making a tri...

    Text Solution

    |

  21. Given a family of lines a(2x +y+4) + b(x-2y-3)=0 .The number of lines ...

    Text Solution

    |