If - a 0 0 b c a c a b then p2a 0 0 pb c a pc a b is equal to

The correct option is B p^2Δ D= p^ 2 a amp; 0 amp; 0 pb amp; c amp; a pc amp; a amp; b =p pa amp; 0 amp; 0 ...

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Properties of Determinants

If Δ= a 0...

Question

If $Δ = ∣ ∣ ∣ ∣ \begin{matrix} a & 0 & 0 b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣$ then $∣ ∣ ∣ ∣ ∣ \begin{matrix} p^{2} a & 0 & 0 p b & c & a p c & a & b \end{matrix} ∣ ∣ ∣ ∣ ∣$ is equal to

p Δ

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p^{2} Δ

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p^{3} Δ

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2 p Δ

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Solution

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Δ = a^{2} - {(b - c)}^{2}

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Δ A B C

tan A

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