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If P=(x_{1}, y_{1}), Q=(x_{2}, y_{2}) and R=(x_{3}, y_{3}) are

Question

If $P = (x_{1}, y_{1}), Q = (x_{2}, y_{2})$ and $R = (x_{3}, y_{3})$ are three points of a triangle in $R^{2}$ . Then, area of a $△ PQR$ in terms of determinant of matrix $M = ⎣ ⎡ 1 x_{1} y_{1} 1 x_{2} y_{2} 1 x_{3} y_{3} ⎦ ⎤$ is

- ∣ d e t (M) ∣

∣ d e t (M) ∣

\frac{1}{2} ∣ d e t (M) ∣

2∣ d e t (M) ∣

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Elizabeth Discussed

P = (x_{1}, y_{1}), Q = (x_{2}, y_{2})

and

R = (x_{3}, y_{3})

are three points of a triangle in

R^{2}

. Then, area of a

△ PQR

in terms of determinant of matrix

M = ⎣ ⎡ 1 x_{1} y_{1} 1 x_{2} y_{2} 1 x_{3} y_{3} ⎦ ⎤

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Discuss this question LIVE

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Text solutionVerified

P = (x_{1}, y_{1}), Q = (x_{2}, y_{2}), R (x_{3}, y_{3})

∣ M ∣ = △ = ∣ ∣ 1 x_{1} y_{1} 1 x_{2} y_{2} 1 x_{3} y_{3} ∣ ∣

Area of triangle

= \frac{1}{2} d e t (M)

Answer: Option C

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Question Text	If $P = (x_{1}, y_{1}), Q = (x_{2}, y_{2})$ and $R = (x_{3}, y_{3})$ are three points of a triangle in $R^{2}$ . Then, area of a $△ PQR$ in terms of determinant of matrix $M = ⎣ ⎡ 1 x_{1} y_{1} 1 x_{2} y_{2} 1 x_{3} y_{3} ⎦ ⎤$ is
Answer Type	Text solution:1
Upvotes	150