Slopes of Perpendicular Lines

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.

Find the slope of a line perpendicular to a line whose slope is 1.

1. -1

2. 1

3. -2

4. 2

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

Q. Find the slope of a line perpendicular to a line whose slope is 1.

1. -2
2. 2
3. -1
4. 1

Q.

Find the slope of the line perpendicular to AB if :

(i) A = (0, -5) and B = (-2, 4)

(ii) A = (3, -2) and B = (-1, 2)

Q.

Consider four straight lines: $\left(i\right)l_1;3y=4x+5\left(ii\right)l_2;4y=3x-1\left(iii\right)l_3;4y+3x=7\left(iv\right)l_4;4x+3y=2$

1. $l_{1}and{l}_{4}areparallel$

2. $l_{1}and{l}_{2}areperpendicular$

3. $l_{2}and{l}_{4}areperpendicular$
4. $l_{2}and{l}_{3}areparallel$

Q.

Find the value(s) of k so that PQ will be parallel to RS. Given :

(i) P (2, 4), Q (3, 6), R (8, 1) and S (10, k)
(ii) P (5, -1), Q (6, 11), R (6, -4k) and S (7, $k^2$)

Q.

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

1. False

2. True

Q.

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

1. 12

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

3. $\frac{-1}{12}$

4. $\frac{1}{12}$

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.

Two non-vertical lines are perpendicular if and only if the product of their slopes is 1.

1. True
2. False

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 two lines are perpendicular, then the product of their slope is _____.

1. 0

2. 1

3. -1

4. infinite

Q.

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

1. $2y–x=5$

2. $y–x=5$

3. $y+2x=5$

4. $3y–2x=5$

Q. If two lines are perpendicular with respect to each other, then the product of their slopes is equal to .

1. 1
2. \N
3. -1
4. 2

Q.

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

1. True

2. False

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

1. 12
2. $\frac{-1}{12}$
3. $\frac{-1}{2}$
4. $\frac{1}{12}$