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MODERN PUBLICATION-MOCK TEST-3-EXERCISE
- If A=[[2,0,-1],[5,1,0],[0,1,3]], prove that : A^-1=A^2-6A+11I
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- Without expanding, prove the following |(b+c,c+a,a+b),(q+r,r+p,p+q)...
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- If the function defined by : f(x) = {:{(2x-1,x<2),(a,x=2),(x+1,x>2):...
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- Differentiate the following w.r.t.x. x^(cot x) + (sin x)^x.
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- Evalute : int(5x+3)/sqrt(x^2+4x+10)dx
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- Evaluate : int0^pi (xsinx)/(1+cos^2x)dx.
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- Evaluate : ∫0^(pi/2)frac{cos^2x}{cos^2x+4sin^2x}dx
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- For the differential equation, find the particular solution satisfying...
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- Find the vector equation of the line parallel to the line : (x-1)/5=(3...
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- Find the equation of the plane passing through the point ( 1, -1 , 2) ...
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- A speaks truth in 60% of the cases, while B in 90% of the cases. In wh...
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- Consider f: Rrarr [- 5, ∞) given by f(x) = 9x^2 + 6x- 5. Show that f i...
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- Consider the binary operations * : R xx R to R and o: R xx R to R def...
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- Show that a cylinder of given volume, open at the top, has minimum tot...
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- Using integration find the area of region bounded by the triangle wher...
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- Show that the points : A(-2hati+3hatj+5hatk), B(hati+2hatj+3hatk) and ...
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- Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...
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- Two tailors A and B earn Rs 150 and Rs 200 per day respectively. A can...
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- A coin is biased so that the head is 3 times as likely to occur as tai...
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- There see three coins,one is a two headed coin (having head on both th...
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