Equation of a Line Perpendicular to a Given Line

Q. The line through A(-2, 3) and B(4, b) is perpendicular to the line 2x - 4y = 5. Find the value of b.

1. $$-9$$
2. 9
3. 8
4. $$-8$$

Q.

Line L passes through the points (4, -5) and (3, 7). Find the slope of a line perpendicular to L.

1. -1/2

2. - (1/12)

3. 1/12

4. 12

Q.

The lines with equation 2x - 3y = 8 and -x + 4y = 2 are perpendicular to each other.

1. True

2. False

Q.

Find the equation of the perpendicular bisector of the line segment joining the points $(3,4)$ and $(-1,2)$.

1. $y–x=5$

2. $2y–x=5$

3. $y+2x=5$

4. $3y–2x=5$

Q.

The slope of the line perpendicular to $x-\frac{y}{2}+3=0$ is _____.

1. $\frac{1}{2}$

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

3. -2

4. 2

Q. If the lines $(p+1)x+y=3$ and $3y-(p-1)x=4$ are perpendicular to each other, find $p$.

1. 1

2. 2

3. -1

4. -2

Q.

Find the equation of the altitude AD of the triangle whose vertices are $(7,-1)$, $(-2,8)$ and $(1,2)$.

1. $3x-2y-9=0$

2. $x-2y-9=0$

3. $x-y-9=0$

4. $x-2y-8=0$

Q.

The line through A(-2, 3) and B(4, b) is perpendicular to the line 2x - 4y = 5. Find the value of b.

1. -6

2. 6

3. 9

4. -9

Q.

If the lines mx - ny + 5 = 0 and 2x + 3y + 6 = 0 are perpendicular to each other, then find the relation between m and n

1. $m=3n$

2. $2m=n$

3. $2m=3n$

4. $m=n$

Q. Find the value of p for which the lines $2x+3y-7=0$ and $4y-px-12=0$ are perpendicular to each other.

1. -4

2. 6

3. -6

4. 4