Introduction to Analytical Geometry

Which of the following is the correct formula for Rotation of Axis?

Difficulty: Easy

A:

\left(x\sin \theta +y \cos \theta, -x \sin \theta +y \cos \theta \right)

B:

\left(x\cos \theta +y \sin \theta, -x \sin \theta +y \cos \theta \right)

C:

\left(x\sin \theta +y \sin \theta, -x \cos \theta +y \cos \theta \right)

D:

\left(x\cos \theta +y \cos \theta, -x \sin \theta +y \sin \theta \right)

Shortest distance of the point $(1,2)$ from the line $3x-4y+10=0$ is

Difficulty: Easy

A:

1

B:

2

C:

3

D:

4