A line cuts the x-axis at `A (7, 0)` and the y-axis at `B(0, - 5)` A variable line PQ is drawn perpendicular to AB cutting the x-axis in P and the y-axis in Q. If AQ and BP intersect at R, find the locus of R

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

The line 3x+2y=24 meets the y-axis at A and the x-axis at Bdot The perpendicular bisector of A B meets the line through (0,-1) parallel to the x-axis at Cdot If the area of triangle A B C is A , then the value of A/(13) is________

Find the equation of the line perpendicular to x-axis and having intercept -2 on x-axis.

A line is inclined to the x-axis at 45^@ and y-axis at 60^@ . Find the angle at which the line is inclined to z-axis.

A tangent is drawn to the parabola y^2=4a x at P such that it cuts the y-axis at Qdot A line perpendicular to this tangents is drawn through Q which cuts the axis of the parabola at R . If the rectangle P Q R S is completed, then find the locus of Sdot

Let P be the point (-3,0) and Q be a moving point (0,3t). Let PQ be trisected at R so that R is nearer to Q. RN is drawn perpendicular to PQ meeting the x-axis at N. The locus of the mid-point of RN is

Through point P(-1,4) , two perpendicular lines are drawn which intersect x-axis at Q and R. find the locus of incentre of Delta PQR .

Equation of the straight line perpendicular to the line x-y+5=0, through the point of intersection the y-axis and the given line

The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of the line through P perpendicular to the given line is