Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The shortest distances of the point (1, 2, 3) from x, y, z axes respectively are

Options:

1, 2, 3

$\sqrt{5}, \sqrt{13}, \sqrt{10}$

$\sqrt{10}, \sqrt{13}, \sqrt{5}$

$\sqrt{13}, \sqrt{10}, \sqrt{5}$

Correct Answer:

$\sqrt{13}, \sqrt{10}, \sqrt{5}$

Explanation:

P(1, 2, 3)  dx, dy , dz distances from x, y, z axes respectively

$d_x=\sqrt{2^2+3^2}=\sqrt{13}, d_y=\sqrt{1^2+3^2}=\sqrt{10}, d_z=\sqrt{1^2+2^2}=\sqrt{5}$

Option: 4