The line `y=(3x)/4` meets the lines `x-y+1=0` and `2x-y=5` at A and B respectively. Coordinates of P on `y=(3x)/4` such that `PA*PB=25.`

A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B , respectively. If a point P(1,5) on the line A B is such that A P: P B=2:1 (internally), find point Adot

If the line y=mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same point, then m is equal to

The circle 4x^(2) + 4 y^(2) = 25 cuts the line 3x + 4y - 10 = 0 at A and B. Calculate the coordinates of Aand B.

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)

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find : the co-ordinates of A and B.

Prove that the three lines 2x-y-5=0, 3x-y-6=0 and 4x-y-7=0 meet in a point.

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 L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , 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

Prove that the three lines 5x+3y-7=0, 3x-4y=10, and x+2y=0 meet in a point.

A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 at the points B , Ca n dD respectively, if ((15)/(A B))^2+((10)/(A C))^2=(6/(A D))^2 find the equation of the line.