Collinear Points

Q.

If the points A(1, 2), B(0, 0) and C(a, b) are collinear, then which of the following is correct

1. a = b

2. a = 2b

3. 2a = b

4. a = –b

Q.

If the points A(1, 2), B(0, 0) and C(a, b) are collinear, then which of the following is correct

1. a = b

2. a = 2b

3. 2a = b

4. a = –b

Q.

Find the values of k, if the points A(k+1, 2k), B(3k, 2k+3) and C(5k-1, 5k) are collinear.

1. k = 2, $\frac{1}{2}$

2. k = 3, $\frac{1}{3}$

3. k = 5, $\frac{1}{5}$

4. k = 4, $\frac{1}{4}$

Q.

The value of m, if the points (5, 1) (-2, -3), and (8, 2m) are collinear is:

1. $\frac{15}{14}$

2. $\frac{19}{14}$

3. $\frac{19}{15}$

4. $\frac{19}{17}$

Q.

If the points A(1, 2), B(0, 0), and C(a, b) are collinear, then which of the following is correct?

1. a = b

2. 2a = b

3. a = –b

4. a = 2b

Q.

Find the values of k, if the points A(k+1, 2k), B(3k, 2k+3) and C(5k-1, 5k) are collinear.

1. k = 5, $\frac{1}{5}$

2. k = 2, $\frac{1}{2}$

3. k = 3, $\frac{1}{3}$

4. k = 4, $\frac{1}{4}$

Q. Question 20
If the points A(1, 2), B(0, 0) and C(a, b) are collinear, then
(A) a = b
(B) a = 2b
(C) 2a = b
(D) a = –b

Q.

For what value of k are the points A(k, 2 – 2k) , B(–k + 1, 2k) and C(–4 – k, 6 – 2k) are collinear ? [4 MARKS]

Q.

If three or more points lie on the same straight line, then the points are called

1. co-planar points

2. con-current points

3. collinear points

4. straight points

Q. How many lines segments can be drawn to pass through two given points if they are collinear?

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