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FULL MARKS-SAMPLE PAPER - 16-PART - IV
- The principal argument of (3)/(-1 + i) is
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- (a) Show that the equations x +y +z = 6 , x + 2y + 3z = 14 , x + 4y + ...
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- Verify (i) closure property (ii) commutative property (iii) associate ...
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- Prove that (1 + i)^(n) + (1 - i)^(n) = 2^((n + 2)/(2)) cos (n pi)/(4)
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- Find the parametric form of vector equation, and Cartesian equations o...
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- Find a polynomial equation of minimum degree with rational coefficient...
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- If the probability mass function f(x) of a random variable X is ...
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- Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...
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- (x^(2)+y^(2))dy=xydx. It is given that y(1)=1 and y(x(0))=e. Find the ...
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- At a water fountain , water attains a maximum height of 4m at horizo...
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- Prove that the curves y^(2) = 4x and x^(2) = 4y divide the area of the...
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- If veca =2veci+3vecj-veck , vecb =2veci+5veck , vecc =vecj-3veck...
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- Prove that the line 5x+12y=9 touches the hyperbola x^(2)-9y^(2)=9 and ...
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- Prove that the ellipse x^(2)+4y^(2)=8 and the hyperbola x^(2)-2y^(2)=...
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- Let W(x,y,z) =x^(2) - xy + 3 sin z, x,y,z in R, Find the linear approx...
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