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(i) Find equation of line joining (1, 2) and (3, 6) using dete

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(i) Find equation of line joining $(1, 2)$ and $(3, 6)$ using determinants
(ii) Find equation of line joining $(3, 1)$ and $(9, 3)$ using determinants.

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Eleanor Discussed

(i) Find equation of line joining

(1, 2)

and

(3, 6)

using determinants
(ii) Find equation of line joining

(3, 1)

and

(9, 3)

using determinants.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

(i) Let

P (x, y)

be any point on the line joining the points

(1, 2)

and

(3, 6)

So, these points are collinear.

\Rightarrow ∣ ∣ x 13 y 26 111 ∣ ∣ = 0

\Rightarrow x (2 - 6) - y (1 - 3) + 1 (6 - 6) = 0

\Rightarrow - 4 x + 2 y = 0

So, the equation of line joining the points

(1, 2)

and

(3, 6)

- 4 x + 2 y = 0

(ii) Let

P (x, y)

be any point on the line joining the points

(3, 1)

and

(9, 3)

So, these points are collinear.

\Rightarrow ∣ ∣ x 39 y 13 111 ∣ ∣ = 0

\Rightarrow x (1 - 3) - y (3 - 9) + 1 (9 - 9) = 0

\Rightarrow - 2 x + 6 y = 0

So, the equation of line joining the points

(3, 1)

and

(9, 3)

- 2 x + 6 y = 0

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Question Text	(i) Find equation of line joining $(1, 2)$ and $(3, 6)$ using determinants (ii) Find equation of line joining $(3, 1)$ and $(9, 3)$ using determinants.
Answer Type	Text solution:1
Upvotes	150

(i) Find equation of line joining (1,2) and (3,6) using determinants(ii) Find equation of line joining (3,1) and (9,3) using determinants.

Text solutionVerified

Practice questions from similar books

(i) Find equation of line joining $(1, 2)$ and $(3, 6)$ using determinants
(ii) Find equation of line joining $(3, 1)$ and $(9, 3)$ using determinants.