CBSE (Arts) Class 12CBSE
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Solution for Using Properties of Determinants, Prove That: |(Alpha, Alpha^2,Beta+Gamma),(Beta, Beta^2, Gamma+Alpha),(Gamma, Gamma^2, Alpha+Beta)| = (β – γ) (γ – α) (α – β) (α + β + γ) - CBSE (Arts) Class 12 - Mathematics

Question

Using properties of determinants, prove that:

`|(alpha, alpha^2,beta+gamma),(beta, beta^2, gamma+alpha),(gamma, gamma^2, alpha+beta)|` =  (β – γ) (γ – α) (α – β) (α + β + γ)

Solution

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APPEARS IN

 NCERT Mathematics Textbook for Class 12 Part 1 (with solutions)
Chapter 4: Determinants
Q: 11 | Page no. 142
Solution for question: Using Properties of Determinants, Prove That: |(Alpha, Alpha^2,Beta+Gamma),(Beta, Beta^2, Gamma+Alpha),(Gamma, Gamma^2, Alpha+Beta)| = (β – γ) (γ – α) (α – β) (α + β + γ) concept: Properties of Determinants. For the courses CBSE (Arts), CBSE (Science), CBSE (Commerce)
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