Find the equation of a plane in intercept form. Express the equation of the plane `2x + 3y + 4z = 12` to its intercept form.

Reduce the equation of a plane 6x + 3y - 2z = 14 to its normal form.

Reduce the equation of plane 2x - 4y + 4z + 15 =0 to its normal form.

Reduce the equation 3x + 4y - 10 = 0 to (ii) intercept form and

Write down the equation of a plane making intercepts a,b,c on X, Y and Z-axes respectively.

Find the equation of the circle whose centre is (2, 3) and which touches the line 3x - 4y - 1 = 0.

Find the equation of the straight lines which pass through the point (2, 3) and are such that the sum of the intercepts of each line on the axes is 10.

What are the direction consines of the normal to the plane 3x + 2y - 3z = 8 ?

Reduce the equation 3x-2y+6=0 to the intercept form and find the x and y intercepts.