JEE Main | 2018Straight LineHard

Question

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

Options

A.

2x + 3y = xy

B.

3x + 2y = xy

C.

3x + 2y = 6xy

D.

3x + 2y = 6

Solution


Equation of PQ is 
xh+yk=1
passes through (2, 3) so  2h+3k=1
So locus 2x+3y=1
3x + 2y = xy

Create a free account to view solution

View Solution Free
Topic: Straight Line·Practice all Straight Line questions

More Straight Line Questions

The nature of straight lines represented by the equation 4x2 + 12xy + 9y2 = 0 is -...Orthocenter of the triangle whose sides are given by 4x − 7y + 10 = 0, x + y − 5 = 0 & 7x + 4y − 15 = ...The equation of perpendicular bisector of the line segment joining the points (1, 2) and (−2, 0) is -...All points lying inside the triangle formed by the points (1, 3) , (5, 0) and (-1, 2) satisfy...If the vertices of a triangle have integral coordinates, then the triangle is -...