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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If A=[(0,1,0),(-1,0,2),(0,0,1)], then show that A^3-A^2+I3=[(2,-1,0),(...
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- If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...
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- Solve the following LPP graphically: Maximize: Z=4x1+3x2 subject to x1...
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- Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.
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- A line makes angles alpha, beta, gamma, delta with the four main diago...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- The equation of a plane passing through (1, 1, 2) and parallel to x + ...
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- What is the value of int0^100[tan^(-1)x]dx ?
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- What is the trigonometric function f(x) such that f''(x)+f(x)=0?
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- Write whether the following statements are true or false. "sec"^(-1)...
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- What is the minimum value of |[sin x ,cosx], [-cosx, 1+ sinx]|?
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- What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...
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- if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...
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- What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...
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- Find the degree and the order of the differential equation (dy/dx)+1+f...
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- Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6
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- Let R={(m,n):2 divides m+n} on Z. Show that R is an equivalence relati...
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- Find the feasible solution region of x+yle1,2x+3yle6,xge0,yge0.
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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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