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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- What is the principal value of sin^(-1)(sin((2pi)/3))?
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- What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...
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- What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...
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- The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...
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- If is a 3xx3 matrix and absA=7, then which matrix is represented by Ax...
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- What is the value of intsin^2xd(sinx)?
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- Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.
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- Write whether the equation "tan"^(-1) ("cot"x)=2x has exactly two real...
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- Find the feasible solution region of the following: 3x+yge3,x+yge1,xge...
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- Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0
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- Prove that for any f:X rarr Y , f o idx = f =idY of.
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- If A=[(2,5),(1,3)], then find A^(-1)
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- Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,...
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- If [(x+y,y-z),(5-t,7+x)]=[(t-x,z-t),(z-y,x+z+t)], then find the values...
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- Express as a sum of a symmetric and a skew symmetric matrix: [[1,2,3],...
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- Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2
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- Find the intervals where the following functions are (a) increasing an...
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- Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).
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- Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = ...
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- Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...
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