Q2 of 230 Page 30

Reduce the equations of the following planes in the intercept form and find its intercepts on the coordinate axes:
2x – y + z = 5

given equation is 2x – y + z = 5

Now let us divide both sides by 5

We get,

We know that, the equation of the plane whose intercepts on the coordinate axes a, b, c is given by the equation

So by comparing

So the intercepts are.

Reduce the equations of the following planes in the intercept form and find its intercepts on the coordinate axes:

4x + 3y – 6z – 12 = 0

Reduce the equations of the following planes in the intercept form and find its intercepts on the coordinate axes:

2x + 3y – z = 6

Find the equation of a plane which meets the axes in A, B and C, given that the centroid of the triangle ABC is the point (α, β, γ).

Find the equation of the plane passing through the point (2, 4, 6) and making equal intercepts of the coordinate axes.

Reduce the equations of the following planes in the intercept form and find its intercepts on the coordinate axes:2x – y + z = 5