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If A, B And C Are Real Numbers, and Triangle =|(B+C, C+A, A+B),(C+A,A+B, B+C),(A+B, B+C, C+A)| = 0 Show that Either A + B + C = 0 Or A = B = C. - Mathematics

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Question

If ab and are real numbers, and triangle =`|(b+c, c+a, a+b),(c+a,a+b, b+c),(a+b, b+c, c+a)|` = 0 Show that either a + b + c = 0 or a = b = c.

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Solution

Hence, if Δ = 0, then either a + b + c = 0 or a = b = c.

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Chapter 4: Determinants - Exercise 4.7 [Page 141]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 4 | Page 141

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