Choose the correct options for the following questions.
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
A line with point $(1,1)$ is perpendicular to a line having slope $-\frac{3}{4}$. What is the equation of the line?
Difficulty: Easy
A:
$3x-4y-1=0$
B:
$4x-3y-1=0$
C:
$4y-3x-1=0$
D:
$4y+3x+1=0$
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