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Find the Coordinates of the Point Where the Line Through (5, 1, 6) and (3, 4, 1) Crosses the Yz-plane - Mathematics

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ-plane

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Solution

It is known that the equation of the line passing through the points, (x1y1z1) and (x2y2z2), is

The line passing through the points, (5, 1, 6) and (3, 4, 1), is given by,

Any point on the line is of the form (5 − 2k, 3k + 1, 6 −5k).

The equation of YZ-plane is x = 0

Since the line passes through YZ-plane,

5 − 2k = 0

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 12 Maths
Chapter 11 Three Dimensional Geometry
Q 10 | Page 498
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