A straight line through the origin 'O' meets the parallel lines `4x +2y= 9` and `2x +y=-6` at points P and Q respectively. Then the point 'O' divides the segment PQ in the ratio

A straight line through origin O meets the lines 3y=10-4x and 8x+6y+5=0 at point A and B respectively. Then , O divides the Segment AB in the ratio.

A straight line L through the origin meets the lines x + y = 1 and x + y = 3 at P and Q respectively. Through P and Q two straight lines L_1 , and L_2 are drawn, parallel to 2x-y- 5 and 3x +y 5 respectively. Lines L_1 and L_2 intersect at R. Locus of R, as L varies, is

A line through origin meets the line x = 3y + 2 at right angles at point X. Find the co-ordinates of X.

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, 5) is the mid-point of PQ, then find the coordinates of P and Q.

A line through the point A(2,4) intersects the line x+y=9 at the point. The minimum distance of AP , is

Let the images of the point A(2, 3) about the lines y=x and y=mx are P and Q respectively. If the line PQ passes through the origin, then m is equal to

The tangent drawn to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 , at point P in the first quadrant whose abscissa is 5, meets the lines 3x-4y=0 and 3x+4y=0 at Q and R respectively. If O is the origin, then the area of triangle OQR is (in square units)

A line intersects the Y- axis and X-axis at the points P and Q, respectively. If (2,-5) is the mid- point of PQ, then the coordinates of P and Q are, respectively.

A variable line through the point (p, q) cuts the x and y axes at A and B respectively. The lines through A and B parallel to y-axis and x-axis respectively meet at P . If the locus of P is 3x+2y-xy=0 , then (A) p=2, q=3 (B) p=3, q=2 (C) p=2, q=-3 (D) p=-3, q=-2