Slope of perpendicular lines

Q.

What is the slope of a line perpendicular to the $x-$axis?

Q.

If $\frac{x^2}{a}+\frac{y^2}{b}+\frac{2xy}{h}=0$ represents a pair of straight lines and slope of one line is twice the other, then $ab:h^2$ is:

1. $9:8$

2. $8:9$

3. $1:2$

4. $2:1$

Q. The slope of line is $2$. Find the slope of the line perpendicular to this line.

1. $-2$
2. $2$
3. $\frac{-1}{2}$
4. $\frac{1}{2}$

Q. The slope of a line is $\sqrt{3}$. Find the equation of a line perpendicular to this line having $y$-intercept as $-\sqrt{2}.$

1. $y=\frac{-x}{\sqrt{3}}-\sqrt{2}$
2. $y=\frac{-x}{\sqrt{3}}-\sqrt{2}$
3. $y=\frac{-x}{\sqrt{3}}+\sqrt{2}$
4. $y=-x\times \sqrt{3}-\sqrt{2}$
5. $y=-x\times \sqrt{3}-\sqrt{2}$

Q. The slope of a line is $\sqrt{3}.$ What is the equation of the line perpendicular to this line that has its $y$-intercept as $–\sqrt{2}$?

Q. Is this statement true "The slope of a line perpendicular to another line is the negative reciprocal of the other line's slope".

1. Yes
2. No

Q. Find the slope of all the lines perpendicular to the line with slope $\frac{-1}{2}$.

1. 2
2. -2
3. $\frac{1}{2}$
4. $\frac{-1}{2}$

Q. Line 1 passes through the origin and the point (1, 2).
Line 2 passes through the points (1, 3) and (2, 5).
Line 3 passes through the origin and the point (-2, 1).

Which of these are parallel and which are perpendicular?

1. Line 3 is perpendicular to both Line 1 and Line 2.
2. Line 2 is perpendicular to both Line 3 and Line 1.
3. Line 1 is perpendicular to both Line 3 and Line 2.
4. Line 3 is parallel to both Line 1 and Line 2.

Q. Line L1 is passing through $(1,2)$ and $(2,1)$.
Line L2 is passing through $(2,4)$ and $(1,3)$.
Which of the following is/are true?

1. Line 1 and Line 2 are perpendicular to each other
2. Line 1 and Line 2 are parallel to each other
3. Line 1 and Line 2 are a linear functions
4. Line 1 and Line 2 are a non-linear functions

Q. Find the value of $x$, if line AB is perpendicular to a line having slope of $-\frac{1}{3}.$

1. $x=\frac{3}{8}$
2. $x=\frac{3}{8}$
3. $x=\frac{8}{3}$
4. $x=\frac{8}{3}$

Q. The given table represents a linear function.

$x$	$y$
$-1$	$-3$
$0$	$2$
$3$	$p$
$q$	$27$

Find the value of $(p+q)$?

1. $17$
2. $18$
3. $22$
4. $27$