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

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

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.

If the difference between the corresponding roots of the equations x^(2)+ax+b=0 and x^(2)+bx+a=0(a1=b) is the same, find the value of a+b .

If (x+1,x) and (6,y-2) represent the same point in cartesian plane, then find x and y.

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .

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

Find the equation of thebisector of the angle between the lines 2x-3y - 5 = 0 and 6x - 4y + 7 = 0 which is the supplement of the angle containing the point (2,-1)

The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point of intersection.

y = (ax-b)/((x-1)(x-4)) has a turning point P (2,-1). Find the values of 'a' and 'b' and show that y is maximum at P.

If lim_(xtooo)((x^(2)+1)/(x+1)-ax-b)=0 , find the values of a and b.