The shortest distance between the line x

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The shortest distance between the line x + y + 2z – 3 = 2x + 3y + 4z – 4 = 0 and the z-axis is :

Options:

1 unit

2 units

3 units

4 units

Correct Answer:

2 units

Explanation:

We have,

$x+y+2 z-3=0, x+2z-2+\frac{3}{2} y=0$

Solving these equations, we get

Y = –2

Thus required shortest distance is 2 units.