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

If the lines y= 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4 , (1/2ltm lt3) , then the values of m are :

The straight line y=mx+1 is a tangent to the parabola y^2=4x , the find the value of m.

If the straight lines joining the origin and the points of intersection of y=mx+1 and x^2+y^2=1 are perpendicular to each other, then find the value of m .

The line y = mx +1 , is a tangent to the curve y^2 = 4x if the value of m is:

The area between x = y^2 and x = 4 is divided into two equal parts by the line x =a , find the value of a .

Find the equation of a straight line passing through the point (4, 5) and equally inclined to the lines 3x = 4y + 7 and 5y = 12x+6 .