CameraIcon

SearchIcon

MyQuestionIcon

53

You visited us 53 times! Enjoying our articles? Unlock Full Access!

Equation of a Sphere : General Form

The shortest ...

Question

The shortest distance from the origin to a variable point on the sphere $(x - 2)^{2} + (y - 3)^{2} + (z - 6)^{2} = 1$ is

A

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $6$
$R e q u i r e d = | O C - A C |$
$= \sqrt{4 + 9 + 36} - 1$
$= 6$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The shortest distance from the origin to a variable point on the sphere

(x - 2)^{2} + (y - 3)^{2} + (z - 6)^{2} = 1

Q. The shortest distance between lines

\frac{x + 1}{7} = \frac{y + 1}{- 6} = \frac{z + 1}{1}

\frac{x - 3}{7} = \frac{y - 5}{- 6} = \frac{z - 7}{1}

approximately is

Q. The shortest distance between the lines

\frac{x - 7}{3} = \frac{y + 4}{- 16} = \frac{z - 6}{7}

\frac{x - 10}{3} = \frac{y - 30}{8} = \frac{4 - z}{- 5}

Q. Find the shortest distance between lines

\frac{x + 1}{7} = \frac{y + 1}{- 6} = \frac{z + 1}{1}

\frac{x - 3}{1} = \frac{y - 5}{- 2} = \frac{z - 7}{1}

Q. Find the shortest distance between lines:

\frac{x - 3}{1} = \frac{y - 5}{2} = \frac{z - 7}{1}

\frac{x + 1}{7} = \frac{y + 1}{- 6} = \frac{z + 1}{1}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Sphere

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equation of a Sphere : General Form

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon