Q. 215.0( 4 Votes )

# Find the coordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY-plane.

Answer :

The equation of line passing through two given points can be given as-

⇒ (say)

Arbitrary Points on the line are : (2λ+3, -3λ+4, 5λ+1)

For specific value of λ, it crosses XY plane i.e., z = 0, whereas x & y has some specific values unlike that of z.

∴ 5λ + 1 = 0

⇒ λ = - 0.2

∴ Coordinate of the point at which it passes the XY plane is:

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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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