Q3 of 53 Page 121

Determine whether the following points are collinear.

(1) A(-1, -1), B(0, 1), C(1, 3)


(2) D(-2, -3), E(1, 0), F(2, 1)


(3) L(2, 5), M(3, 3), N(5, 1)


(4) P(2, -5), Q(1, -3), R(-2, 3)


(5) R(1, -4), S(-2, 2), T(-3, 4)


(6) A(-4, 4), K(-2, 5/ 2 ), N(4, -2)

If Three points (a,b), (c,d), (e,f) are collinear then the area formed by the triangle by the three points is zero.


Area of a triangle = ...(1)


1. Area = = 0


Hence the points are collinear.


2. Area =


Hence the points are collinear.


3. Area =


Hence the points are not collinear


4. Area = = 0


Hence the points are collinear.


5. Area =


Hence the points are collinear.


6. Area =


Hence the points are collinear.


More from this chapter

All 53 →
1

Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines.

(1) 45°


(2) 60°


(3) 90°

 2

Find the slopes of the lines passing through the given points.

(1) A (2, 3), B (4, 7)


(2) P (-3, 1), Q (5, -2)


(3) C (5, -2), D (7, 3)


(4) L (-2, -3), M (-6, -8)


(5) E(-4, -2), F (6, 3)


(6) T (0, -3), S (0, 4)

 4

If A (1, -1),B (0, 4),C (-5, 3) are vertices of a triangle then find the slope of each side

 5

Show that A (-4, -7),B (-1, 2), C (8, 5) and D (5, -4) are the vertices of a parallelogram.