The area of the triangle formed by three points P at 1 t 2- a t 1- t 2- Q - at -2 t 3- a t 2- t 3- R - at -3 t 1- a t 3- t 1 isA- 1-4-t12t2-t3-t22t3-t1-t32t1-t2- a2-t12t2-t3-t22t3-t1-t32t1-t2-C- 1-4 a2-t12t2-t3-t22t3-t1-t32t1-t2-D- 1-2 a2-t12t2-t3-t22t3-t1-t32t1-t2-

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Determinant

The area of t...

Question

The area of the triangle formed by three points $P {a t_{1} t_{2}, a (t_{1} + t_{2})}, Q {a t_{2} t_{3}, a (t_{2} + t_{3})}, R {a t_{3} t_{1}, a (t_{3} + t_{1})}$ is _____.

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Solution

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Similar questions

A (a t_{1} t_{2}, a (t_{1} + t_{2})), B (a t_{2} t_{3}, a (t_{2} + t_{3}))

C (a t_{3} t_{1}, a (t_{3} + t_{1}))

A B C

t_{1} \neq t_{2} \neq t_{3})

[a t_{1} t_{2}, a (t_{1} + t_{2})], [a t_{2} t_{3}, a (t_{2} + t_{3})], [a t_{3} t_{1}, a (t_{3} + t_{1})]

t_{1} + t_{2} + t_{3} = - t_{1} t_{2} t_{3}

(a t_{1} t_{2}, a (t_{1} + t_{2}))

(a t_{2} t_{3}, a (t_{2} + t_{3}))

(a t_{3} t_{1}, a (t_{3} + t_{1}))

t_{1}, t_{2}, t_{3}

y^{2} = 4 x

t_{1}

t_{2}

t_{2}

t_{3}

3 t_{1} + 13 t_{2} + 9 t_{3} = 0

I, I I, I I I

T_{1}, T_{2}

T_{3}

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