If 3x-by+2=0 and 9x+3y+a=0 represent the same straight line, find the values of a and b.

If ax-2y-1=0 and 6x-4y+b=0 represent the same line, find the values of a and b.

If (x+3,5) and (7,y-3) represent the same point, then find the values of x and y .

If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight lines, then value of p is :

if lambda x^2+10xy+3y^2-15x-21y+18=0 represents a pair of straight lines. Then , the value of lambda is

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to a. -5 b. 5 c. -4 d. 4

For what value of lambda does the equation 12x^2-10xy+2y^2+11x-5y+lambda=0 represent a pair of straight lines ? Find their equations and the angle between them.

Prove that the equartion 3y^(2)-8xy-3x^(2)-29x+3y-18=0 represents two straight lines. Find also their point of intersection and the angle between them.

Draw the graphs of 3x-2y=4 and x+y-3=0 in the same graph. Also, find the point of intersection of these lines.

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are

Prove that the equation m (x^3-3xy^2)+y^3-3x^2y=0 represents three straight lines equally inclined to each other.