Find the value of 'a' for which the following points A(a, 3), B(2, 1) and C(5, a) are collinear. Hence, find the equation of the line.
Straight Line Eq
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Question

Find the value of 'a' for which the following points A(a, 3), B(2, 1) and C(5, a) are collinear. Hence, find the equation of the line.

KnowledgeBoat · Accepted Answer

Given that , A(a, 3), B(2, 1) and C(5, a) are collinear. Hence, Slope of AB = Slope of BC Let us take points A and B for the equation, by two point form the equation of the line will be, Putting values of points in above formula we get, Putting a = -1 in above equation, Putting a = 4 in above equation, Hence, the equation of the line is 2x + 3y - 7 = 0 when a = -1 and the equation of the line is x - y - 1 = 0 when a = 4.

Mathematics

Find the value of 'a' for which the following points A(a, 3), B(2, 1) and C(5, a) are collinear. Hence, find the equation of the line.

Straight Line Eq

Related Questions

Find the intercepts made by the line 2x - 3y + 12 = 0 on the coordinate axes.

Find the equation of the line passing through the points P(5, 1) and Q(1, -1). Hence, show that the points P, Q and R(11, 4) are collinear.

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
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Mathematics

Find the value of 'a' for which the following points A(a, 3), B(2, 1) and C(5, a) are collinear. Hence, find the equation of the line.

Straight Line Eq

Related Questions

Find the intercepts made by the line 2x - 3y + 12 = 0 on the coordinate axes.

Find the equation of the line passing through the points P(5, 1) and Q(1, -1). Hence, show that the points P, Q and R(11, 4) are collinear.

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find(i) the coordinates of A.(ii) the equation of the diagonal BD.

ABCD is a parallelogram where A(x, y), B(5, 8), C(4, 7) and D(2, -4). Find
(i) the coordinates of A.
(ii) the equation of the diagonal BD.