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Three Dimensional Geometry

Question

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Find the equation of the plane with intercepts 2, 3 and 4 on the x, y and z-axis respectively.

Solution

Let the equation of plane be

straight x over straight a plus straight y over straight b plus straight z over straight c equals 1

Here a = 2, b = 3, c = 4
∴ equation of plane is

straight x over 2 plus straight y over 3 plus straight z over 4 space equals space 1

or 6x + 4y + 3z = 12

Some More Questions From Three Dimensional Geometry Chapter

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

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