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Using properties of determinants, prove the following : `|[a, a^2,bc],[b,b^2,ca],[c,c^2,ab]|=(a-b)(b-c)(c-a)(b c+c a+a b)`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  3. Using properties of determinants, prove the following : |[a, a^2,bc]...

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  4. Write the value of the determinant |[p,p+1],[p-1,p]| .

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  7. Find the equation of the plane that contains the point (1, – 1, 2) ...

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  13. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

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  14. Show that a cylinder of a given volume which is open at the top has...

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  15. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y^...

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  16. Write the value of cos^(-1)(-1/2)+2sin^(-1)(1/2)

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  18. Evaluate : int0^(pi/4)tanxdx

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  19. Evaluate : int(dx)/(sin^2xcos^2x)

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  20. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

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