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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
- Let R be the relation defined on the set N of natural numbers as R ={(...
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- If 2f(x)+3f(-x)=2x+1,then find f(x).
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- Solve :tanx+tan2x+tan3x=tanxtan2xtan3x,where 0lexle2pi
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- In a /\ABC,sin^2A+cos^2C=cos^2Bfind angleC
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- Find the principal amplitude of-3-sqrt3i
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- If y=x+x^2+x^3+...oowhere|x|<1,prove that x=y/(1+y)
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- Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.......
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- The co-ordinates of the focus of the parabola described paraetrically...
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- Determine the equation of the straight line through the point (2,3)whi...
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- Prove that the derivative of an odd function an ever function .
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- Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)
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- The standard deviation of 32 numbers is 5.If the sum of the numbers is...
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- Fird the probability of getting a head when a coin is tossed once. Als...
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- Prove that Axx(BcupC)=(AxxB)cup(AxxC)
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- If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...
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- If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...
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- Prove that by using the principle of mathematical induction for all n...
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- Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...
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- Find the sum of first n terms of 1+3+7+15+31+….
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- How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...
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