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

2x – y + z = 5

Answer :

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.

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Find the equation of the plane which contains the line of intersection of the planes

and

and whose intercept on the x-axis is equal to that of on y-axis.

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