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If fr(x),gr(x),hr(x),r=1, 2, 3 are polyn...

If `f_r(x),g_r(x),h_r(x),r=1, 2, 3` are polynomials in x such that
`f_r(a)=g_r(a)=h_r(a)` and
`F(x)=[[f_1(x),f_2(x),f_3(x)],[g_1(x),g_2(x),g_3(x)],[h_1(x),h_2(x),h_3(x)]]`

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MBD PUBLICATION-DETERMINATES-QUESTION BANK
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  12. Prove the following: |[ax-by-cz,ay+bx,az+cx],[bx+ay,by-cz-ax,bz+cy],...

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  13. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

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  14. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

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  15. Without expanding show that the following determinant is equal to Ax+B...

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  17. If a1, a2,........,an are in G.P. and ai gt 0 for every i, then find t...

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  18. If f(x)=[[1+sin^2x,cos^2x,4sin2x],[sin^2x,1+cos^2x,4sin2x],[sin^2x,cos...

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  19. If fr(x),gr(x),hr(x),r=1, 2, 3 are polynomials in x such that fr(a)=...

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  20. If f(x)=[[cosx,sinx,cosx],[cos2x,sin2x,2cos2x],[cos3x,sin3x,3cos3x]] ...

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