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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If with reference to the eight handed system of mutually perpendicular...
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- Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...
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- What is int5^x.e^(3x) ?
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- If abs(X)=m and absY= n, then what is the total number of functions fr...
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- If the tangent to the curve y=x^2+3x at P has slope 5, then what are t...
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- Fill in the blank choosing correct answer from the brackets cot^(-1)[(...
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- What is the symmetric form of the equation of z-axis ?
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- If A is a non singular square matrix of order n, then what is abs(adj ...
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- Answer any three questions if hat(a), hat(b) and hat(c ) are unit ve...
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- If A is a symmetric matrix, then A- A is both symmetric and skew symme...
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- If f(x)={(x,0lexle1),(2-x,1lexle2):}, then what is the value of int0^2...
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- Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).
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- Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...
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- Minimize:Z=6x1+7x2 "Subject to":x1+2x2 ge 4 x1,x2 ge 0
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- If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (...
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- Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.
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- Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]
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- Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] i...
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- If [(3,-2),(5,1)][(x),(y)]=[(12),(7)], then find xand y.
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- If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...
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