Q. 175.0( 2 Votes )

# Find the coordinates of the point where the line through the points A(3, 4, 1) and B(5, 1, 6) crosses the XZ plane. Also find the angle which this line makes with the XZ plane.**[CBSE 2016]**

**[CBSE 2016]**

Answer :

**Given:** points are A(3, 4, 1) and B(5, 1, 6)

**To find:** the coordinates of the point where the line passing through the given points crosses the XZ plane and angle which it make with the plane

**Formula used:**

Here A = (3, 4, 1)

and B = (5, 1, 6)

On comparing,

x = 3 + 2λ, 0 = 4 – 3λ, z = 1 + 5λ

0 = 4 – 3λ

x = 3 + 2λ

z = 1 + 5λ

Hence, the coordinates of the point where the line passing through the given points crosses the XZ plane is,

**Formula used:**

Here,

Therefore,

Hence, angle between the line and XZ plane is,

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If lines and intersect, then find the value of k and hence find the equation of the plane containing these lines.

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