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If F (alpha)= [{:(cosalpha,0, sinalpha),...

If F `(alpha)= [{:(cosalpha,0, sinalpha),(0,1,0),(-sinalpha,0,cosalpha):}]`
Show that = F `(alpha)^(-1)= F(-alpha)`

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SURA PUBLICATION-MODAL QUESTION PAPER-PART - III
  1. Find the inverse of the non-singular matrix A = [[0,5],[-1,6]], by Gau...

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  2. In a competitive examination, one mark is awarded for every correct an...

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  3. State triangle inequality.

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  4. Find the condition that the roots of ax^(3)+bx^(2)+cx+d=0 are in geome...

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  5. Find the domain of sin^(-1)(2-3x^(2)).

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  6. Find the equation of the parabola with vertex (-1, -2), axis parallel ...

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  7. if the normal at the point t(1) on the parabola y^(2) = 4ax meets ...

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  8. If hat(a),hat(b),hat(c) are three unit vectors such that hat(b)andhat(...

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  9. Determine whether the pair of straight lines vecr=(2hati+6hatj+3hatk...

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  10. Prove that tan(pi/4+1/2cos^(-1)(a/b))+tan(pi/4-1/2cos^(-1)(a/b))=(2b)/...

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  11. If F (alpha)= [{:(cosalpha,0, sinalpha),(0,1,0),(-sinalpha,0,cosalpha)...

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  12. Find the values of the real numbers x and y, if the complex numbers ...

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  13. Find a polynomial equation of minimum degree with rational coefficient...

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  14. Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4)

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  15. The parabolic communication antenna has a focus at 2 m distance from t...

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  16. Prove that [vecaxxvecb,vecbxxvecc,veccxxveca]=[veca,vecb,vecc]^(2)

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  17. Evaluate lim(xto0^(+))(1/x-1/(e^(x)-1)).

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  18. Evaluate int(-1)^(1)log((3-x)/(3+x))dx.

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  19. From the differential equations by eliminating arbitrary constants giv...

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  20. Draw the Geometrical diagram for the sum of two complex numbers, z(1)a...

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