If bc -qr - ca - rp - ab - pq - -1 then the value of ap a p bq b q cr c r is

The correct option is A 0 ap amp; a amp; p bq amp; b amp; q cr amp; c amp; r C _ 1 C _ 1 ( C _ 1 × C _ 2 ) 0 ...

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Definition of a Determinant

If bc +qr = c...

Question

If bc +qr = ca + rp = ab + pq = -1 then the value of $∣ ∣ ∣ ∣ \begin{matrix} a p & a & p b q & b & q c r & c & r \end{matrix} ∣ ∣ ∣ ∣$ is

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-1

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None of these

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b c + q r = c a + r p = a b + p q = - 1

∣ ∣ ∣ ∣ \begin{matrix} a p & a & p b q & b & q c r & c & r \end{matrix} ∣ ∣ ∣ ∣ = 0

b c + q r = c a + r p = a b + p q = - 1

∣ ∣ ∣ ∣ \begin{matrix} a p & b q & c r a & b & c p & q & r \end{matrix} ∣ ∣ ∣ ∣ =

b c + q r = c a + r p = a b + p q = - 1

∣ ∣ ∣ ∣ \begin{matrix} a p & a & p b q & b & q c r & c & r \end{matrix} ∣ ∣ ∣ ∣ = 0 (a b c, p q r \neq 0)

a_{1} x + b_{1} y + c_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0, a_{3} x + b_{3} y + c_{3} = 0

∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & c_{3} \end{matrix} ∣ ∣ ∣ ∣ = 0

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