Q4 of 230 Page 30

Find the distance of the point (2, 12, 5) from the point of intersection of the line and the plane

To find the point of intersection of the line

and the plane


= 0


We are substituting of line in the plane.



⇒ 2 + 3 + 8 – 8 + 2 + 2 = 0


⇒ 3


⇒



Hence, the distance of the point from



More from this chapter

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2

Find the coordinates of the point where the line through (3, – 4, – 5) and (2, – 3, 1) crosses the plane 2x + y + z = 7?

 3

Find the distance of the point (– 1, – 5, – 10) from the point of intersection of the line and the plane

5

Find the distance of the point P(– 1, – 5, – 10) from the point of intersection of the line joining the points A(2, – 1, 2) and B(5, 3, 4) with the plane x – y + z = 5 ?

 6

Find the distance of the point P (3, 4, 4) from the point, where the line joining the points A(3, – 4, – 5) and B(2, – 3, 1) intersects the plane 2x + y + z = 7?