Advertisements
Advertisements
प्रश्न
Determine whether the following points are collinear. A(–1, –1), B(0, 1), C(1, 3)
Given: Points A(–1, –1), B(0, 1) and C(1, 3)
Slope of line AB = `(square - square)/(square - square) = square/square` = 2
Slope of line BC = `(square - square)/(square - square) = square/square` = 2
Slope of line AB = Slope of line BC and B is the common point.
∴ Points A, B and C are collinear.
उत्तर
Given: Points A(–1, –1), B(0, 1) and C(1, 3)
Slope of line AB = `(bb1 - bb((-1)))/(bb0 - bb((-1))) = bb2/bb1` = 2
Slope of line BC = `(bb3 - bb1)/(bb1 - bb0) = bb2/bb1` = 2
Slope of line AB = Slope of line BC and B is the common point.
∴ Points A, B and C are collinear.
APPEARS IN
संबंधित प्रश्न
The line through P(5, 3) intersects y-axis at Q.
(1) Write the slope of the line.
(2) Write the equation of the line.
(3) Find the coordinates of Q.
Find the slope and the inclination of the line AB if : A = (−3, −2) and B = (1, 2)
The points (K, 3), (2, −4) and (−K + 1, −2) are collinear. Find K.
Find the value(s) of k so that PQ will be parallel to RS. Given : P(2, 4), Q(3, 6), R(8, 1) and S(10, k)
Lines mx + 3y + 7 = 0 and 5x – ny – 3 = 0 are perpendicular to each other. Find the relation connecting m and n.
The lines represented by 4x + 3y = 9 and px – 6y + 3 = 0 are parallel. Find the value of p.
Angles made by the line with the positive direction of X–axis is given. Find the slope of these line.
90°
Determine whether the following point is collinear.
L(2, 5), M(3, 3), N(5, 1)
Find k, if B(k, –5), C (1, 2) and slope of the line is 7.
Determine whether the given point is collinear.
L(1,2), M(5,3) , N(8,6)
Find k if the line passing through points P(–12, –3) and Q(4, k) has slope \[\frac{1}{2}\].
Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the line joining the points C(2, 4) and D(1, 7).
Verify whether the following points are collinear or not:
A(1, –3), B(2, –5), C(–4, 7).
The line through P (5, 3) intersects Y axis at Q.
(i) Write the slope of the line.
(ii) Write the equation of the line.
(iii) Find the coordinates of Q.
Show that points A(– 4, –7), B(–1, 2), C(8, 5) and D(5, – 4) are the vertices of a parallelogram ABCD
If the lines 7y = ax + 4 and 2y = 3 − x, are parallel to each other, then the value of ‘a’ is:
Find the slope of the line passing through given points G(3, 7) and K(–2, –3).
