Three Dimensional Geometry

Question

Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane..

Answer

Since the plane is parallel to plane ZOX i.e. y = 0
∴  its equation is of form
y = k       ...(1)
This plane makes intercept 3 on y-axis i.e. this plane passes through (0, 3, 0)
∴  3 = k
Putting k = 3 in (1), we get,
y = 3, which is required equation.

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Some More Questions From Three Dimensional Geometry Chapter

Find the direction cosines of x, y and z-axis.