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Question
What will the equation of line joining (1, 2) and (3, 6) using determinants
Options
y = 2x
2y = x
x = y
3x = 2y
MCQ
Solution
y = 2x
Explanation:
Let P(x, y) can be any point on the line joining points A (1, 2) and B(3, 6).
The points A, B, and P are then collinear.
As a result, the area of triangle ABP is zero.
`1/2|(1, 2, 1),(3, 6, 1),(x, y, 1)|` = 0
⇒ `1/2 [1(6 - y) - 2(3 - x) + 1(3y - 6x)` = 0
⇒ `6 - y - 6 + 2x + 3y - 6x` = 0
⇒ `2y - 4x` = 0
⇒ `y = 2x`
As a result, the equation for the line connecting the given points is y = 2x.
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Application of Determinants - Area of a Triangle Using Determinants
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