The lines y = mx , `y + 2x = 0 , y = 2x + k and y + mx = k ` form a rhombus if m equals

The lines y=mx, y+2x=0, y=2x+k and y+mx=k form a rhombus if m is equal to :

If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x = (3)/(2) and the curve y = 1 + 4x - x^(2) , then 12 m is equal to _________.

The line y=mx+1 touches y^(2)=4x , if m = …………

If the line y = mx + 4 is tangent to x^(2) + y^(2) = 4 and y^(2) = 4ax then a is (a gt 0) equal to :

If the line y = mx + 4 is tangent to x^(2) + y^(2) = 4 and y^(2) = 4ax then a is (a gt 0) equal to :

If the line y = mx + 4 is tangent to x^(2) + y^(2) = 4 and y^(2) = 4ax then a is (a gt 0) equal to :

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

If the lines y = 3x +1 and 2y = x + 3 are equally inclined to the line y= mx + 4, find the value of m.