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Find the value of the determinant |(bc,c...

Find the value of the determinant `|(bc,ca, ab),( p, q, r),(1, 1, 1)|,`where `a ,b ,a n d` c are respectively, the pth, qth, and rth terms of a harmonic progression.

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  5. Prove that: cos(A+B+C)+cos(A-B+C)+cos(A+B-C)+cos(-A+B+C)=4cos A\ cos B...

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  9. If alpha,beta,gamma are different from 1 and are the roots of a x^3+b ...

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  10. If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],...

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  11. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

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  12. If 2s=a+b+c and A=|[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^...

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  15. if a determinant of order 3xx 3 is formed by using the numbers 1 ...

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  16. If z=|[-5, 3+4i,5-7i],[3-4i,6 ,8+7i],[5+7i,8-7i,9]|,t h e nz is (a) p...

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  17. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

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  18. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

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  19. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  20. Consider the determinant Delta=|[a1+b1x^2,a1x^2+b1,c1],[a2+b2x^2,a2x^2...

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