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SURA PUBLICATION-MODAL QUESTION PAPER-PART - III
- Find the inverse of the non-singular matrix A = [[0,5],[-1,6]], by Gau...
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- In a competitive examination, one mark is awarded for every correct an...
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- State triangle inequality.
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- Find the condition that the roots of ax^(3)+bx^(2)+cx+d=0 are in geome...
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- Find the domain of sin^(-1)(2-3x^(2)).
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- Find the equation of the parabola with vertex (-1, -2), axis parallel ...
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- if the normal at the point t(1) on the parabola y^(2) = 4ax meets ...
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- If hat(a),hat(b),hat(c) are three unit vectors such that hat(b)andhat(...
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- Determine whether the pair of straight lines vecr=(2hati+6hatj+3hatk...
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- Prove that tan(pi/4+1/2cos^(-1)(a/b))+tan(pi/4-1/2cos^(-1)(a/b))=(2b)/...
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- If F (alpha)= [{:(cosalpha,0, sinalpha),(0,1,0),(-sinalpha,0,cosalpha)...
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- Find the values of the real numbers x and y, if the complex numbers ...
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- Find a polynomial equation of minimum degree with rational coefficient...
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- Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4)
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- The parabolic communication antenna has a focus at 2 m distance from t...
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- Prove that [vecaxxvecb,vecbxxvecc,veccxxveca]=[veca,vecb,vecc]^(2)
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- Evaluate lim(xto0^(+))(1/x-1/(e^(x)-1)).
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- Evaluate int(-1)^(1)log((3-x)/(3+x))dx.
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- From the differential equations by eliminating arbitrary constants giv...
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- Draw the Geometrical diagram for the sum of two complex numbers, z(1)a...
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