Reduce the equation `x + y + 5sqrt(2) = 0` to the normal form.

Find the values of theta and p, if the equation x cos theta+ y sin theta = p is the normal form of the line sqrt3x + y+2=0 .

Reduce the equation sqrt3x+y-8=0 into normal form and find : length of the perpendicular from origin to the line.

Reduce the equation sqrt3x+y-8=0 into normal form and find : angle between the normal and positive x-axis.

Find the values of theta and p, if the equation x cos theta + y sin theta = p is the normal form of the line sqrt3 x+y + 2 = 0 .

Reduce the equation to sqrt3x+y+1 =0 to the form y = mx +c and hence find the slope, the inclination to the x-axis and the intercept on the y-axis.

Reduce the equation 2x+6y+3z+9=0 to the normal form.

Reduce the following equations into the normal form. Find their perpendicular distance from the origin and angle between perpendicular and positive direction of x-axis. (i) x-sqrt(3)y+8=0" " (ii) x-y=4 .

Reduce the equation 2x-7y+3= 0 to the intercept form and hence find the intercepts on the axes.

Reduce the equation x+2y=3 to the intercept form .

Reduce x+sqrt(3y) - 4 = 0 to the : (iii) Normal form and find the values of p and alpha