`DeltaOAB` is formed by the lines `x^2-4xy +y^2= 0` and the line AB. The equation of line AB is `2x + 3y-1 = 0`.Find the equation of the median of the triangle drawn from the origin.

A DeltaOPQ is formed by the pair of straight lines x^(2)-4xy+y^(2)=0 and the line PQ. The equation of PQ is x+y-2=0. Find the equation of the median of the triangle DeltaOPQ drawn from the origin O.

The equation of a line AB is 2x - 2y + 3 = 0. Find the slope of the line AB.

The triangle formed by the pair of line 3x^2+48xy+23y^2=0 and the line 3x-2y+4=0 is

Area of the triangle formed by the lines x^(2)-3xy+y^(2)=0 and x+y+1=0

Area of the triangle formed by the lines 3x^(2)-4xy+y^(2)=0, 2x-y=6 is

The sides of a triangle are OA, OB, AB and have equations 2x-y=0, 3x+y=0, x-3y+10=0 , respectively. Find the equation of the three medians of the triangle and verify that they are concurrent.

The drawn alongiside (not drawn to scale) shows two stragit lines AB and CD. If the equation of line AB is: x - sqrt3 y + 5=0 and the equation of line CD is : x-y =2, write down the inclinations of lines AB and CD, also find the angle theta i.e., angle CPB.