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

`2x+3y=xy`

`3x+2y=xy`

`3x+2y=6xy`

`3x+2y=6`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINE
TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
STRAIGHT LINE
TARGET PUBLICATION|Exercise CRITICAL THINKING|68 Videos
SETS, RELATIONS AND FUNCTIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES
TARGET PUBLICATION|Exercise EVALUATION TEST|12 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

TARGET PUBLICATION-STRAIGHT LINE -COMPETITIVE THINKING

Equation of the straight line making equal intercepts on the axes and ...
Text Solution
|
The equation of the straight line passing through the point (4. 3) and...
Text Solution
|
The straight line through a fixed point (2,3) intersects the coordinat...
Text Solution
|
The equation to the line bisecting the join of (3,-4) and (5,2) and ha...
Text Solution
|
If ((3)/(2), (5)/(2)) is the midpoint of line segment intercepted by a...
Text Solution
|
A straight line through the point A(3, 4) is such that its intercept ...
Text Solution
|
Equation of the line through (alpha, beta) which is the midpoint of th...
Text Solution
|
The equation of the line which is such that the portion of line segmen...
Text Solution
|
An equation of a line whose segment between the coordinate axis is div...
Text Solution
|
If the portion of a line intercepted between the coordinate axes is di...
Text Solution
|
If the line px-qy=r intersects the coordinate axes at (a,0) and (0,b),...
Text Solution
|
A line is such that its segment between the straight lines 5x- y-4 =0 ...
Text Solution
|
The lines y=2x and x=-2y are
Text Solution
|
Two line represented by equations x+y =1 and x+ky =0 are mutually orth...
Text Solution
|
If the straight lines 2x+ 3y -3=0 and x+ky +7 =0 are perpendicular, th...
Text Solution
|
If the line passing through (4,3)a n d(2,k) is parallel to the line...
Text Solution
|
The medians BE and AD of a triangle with vertices A(0, b), B(0, 0) and...
Text Solution
|
If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....
Text Solution
|
For what values of aa n db the intercepts cut off n the coordinate axe...
Text Solution
|
The equation of the straight line passing through the point (3,2) and ...
Text Solution
|