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Using the Property of Determinants and Without Expanding, Prove That: |(B+C, Q+R, Y+Z),(C+A, R+P, Z +X),(A+B, P+Q, X + Y )| = 2|(A,P,X),(B,Q,Y),(C, R,Z)|

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Question

Using the property of determinants and without expanding, prove that:

`|(b+c, q+r, y+z),(c+a, r+p, z +x),(a+b, p+q, x + y )| = 2|(a,p,x),(b,q,y),(c, r,z)|`

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Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 119]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 5 | Page 119
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