Collinearity Condition
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If three or more points lie on the same line, they are called collinear points.
True
False
True, only in some cases.
None of these
When are three or more points said to be collinear?
they lie on a circle
they do not make any defined shape
they form a closed loop together
they lie on a straight line
(i) d(P, R) = 7, d(P, Q) = 10, d(Q, R) = 3
(ii) d(R, S) = 8, d(S, T) = 6, d(R, T) = 4
(iii) d(A, B) = 16, d(C, A) = 9, d(B, C) = 7
(iv) d(L, M) = 11, d(M, N) = 12, d(N, L) = 8
(v) d(X, Y) = 15, d(Y, Z) = 7, d(X, Z) = 8
(vi) d(D, E) = 5, d(E, F) = 8, d(D, F) = 6
Find the values of k, if the points A(k+1, 2k), B(3k, 2k+3) and C(5k-1, 5k) are collinear.
(1, 3), (– 1, – 1), (– 2, – 3)
When are three or more points are said to be collinear?
they lie on a circle
they form a closed loop together
they lie on a straight line
they do not make any defined shape
- True
- False
Plot the following points and check whether they are collinear or not.
(i) (1, 3), (-1, -1), (-2, -3)
(ii) (1, 1), (2, -3), (-1, -2)
(iii) (0, 0), (2, 2), (5, 5)
Find the value of 'k', for which the points (8, 1), (k, -4), (2, -5) are collinear.
2
4
1
3
(7, -2), (5, 1), (3, k) [2 marks]
- 3, 7
- −3, −7
- −7, −3
- 7, 3
For what value of 'k' are the following points (7, -2), (5, 1), (3, k) collinear ?
2
6
5
4
For what value of 'k' are the following points (7, -2), (5, 1), (3, k) collinear.
4
6
2
5
(i) A (3, -4), B (-5, 6)
Find the values of k, if the points A(k+1, 2k), B(3k, 2k+3) and C(5k-1, 5k) are collinear.
k = 2, 12
k = 5, 15
k = 3, 13
k = 4, 14
(i) C (1, 2), D(4, 7)
(ii) E (6, 13), F (9, 7)
(iii) G (m+n, mn), H(mn, m+n)
Collinear points are those that lie on the
Same plane
Same axis
Same line
All of these
