Q. 4

# Write the equation of the plane whose intercepts on the coordinate axes are 2, -4 and 5 respectively.

Given :

X – intercept, a = 2

Y – intercept, b = - 4

Z – intercept, c = 5

To Find : Equation of plane

Formula :

If a, b & c are the intercepts made by plane on X, Y & Z axes respectively, then equation of the plane is given by,  Multiplying above equation throughout by 40, 20x – 10y + 8z = 40

10x – 5y + 4z = 20

This the equation of the required plane.

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Find the coordinate of the point P where the line through and crosses the plane passing through three points and Also, find the ratio in which P divides the line segment AB.

Mathematics - Board Papers