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

Write down the equation of the straight line which cuts intercepts 6, -7 from the axes.

Write down the equation of the straight line whose gradient is 5/7 and Y - intercept is 2/7.

Answer the following questions: Write the equation of the plane passing through (a,b,c) and parallel to xy-plane.

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

Write down the equation of the straight line passing through the origin which makes an angle 60^@ with positive x-axis.

Find the equation of the line which cut off intercepts on the axes whose sum and product are 1 and -6 respectively.

If x=a,y=b is the solution of the equations x-y=2 and x+y=4 then the values of a and b are respectively, a)3 and 1 b)-1 and -3 c)6 and 4 d)5 and 3