# 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.

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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RELATED QUESTIONS :

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