If Δ1=∣∣
∣∣xbbaxbaax∣∣
∣∣ and Δ2=∣∣∣xbax∣∣∣ are the given determinants, then
A
Δ1=3(Δ2)2
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B
ddx(Δ1)=3Δ2
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C
ddx(Δ1)=3(Δ2)2
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D
Δ1=3Δ23/2
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Solution
The correct option is Cddx(Δ1)=3Δ2 Given, Δ1=∣∣
∣∣xbbaxbaax∣∣
∣∣ and Δ2=∣∣∣xbax∣∣∣ Δ1=x3−3abx+ab2+a2b and Δ2=x2−ab Now, ddx(Δ1)=3(x2−ab) Hence, ddx(Δ1)=3Δ2