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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 10-EXERCISE
- Calculate the variance of 1st h natural numbers.
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- For any three sets A, B, C. show thatAxx(B-C)=(AxxB)-(AxxC)
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- Show that tan6^@tan42^@tan66^@tan78^@=1
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- Solve :2+2cos2x.cos5x=sin^2 2x
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- Prove that by mathematical induction,4^n+15n-1is divisible ny 9 when n...
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- Prove that ((i-sqrt3)/(i+sqrt3))^200+((i+sqrt3)/(-i+sqrt3))^200= -1
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- If the sum of 1st n tenn of a GP is Sn=1 and S(2n)=4,show that S(3n):S...
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- In the expansion of (x+P)^n,the 6th ,7th,8th and 9th terms are a,b,c a...
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- Show that the straight lines x/a+y/b=1/c, x/b+y/c=1/a and x/c+y/a=1/b ...
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- The co-ordinates of the end points of a diagonal of a rectangle are (...
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- Find the equation of a circle which is passes through the point (4,3) ...
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- Show that the points (0. 7, 10), (-1, 6, 6) and (-4, 9, 6) form a righ...
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- Differentiate (from 1st principle) sinx/xwith respect to x
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- Prove that the statement , “If all the angles of a triangle are equal,...
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- Prove that sqrt2 irrational, (use the method of contradiction).
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- Two unbiased dice are thrown. Find the probability that the upper fac...
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- If x costheta=y cos (theta+(2pi)/3)=z cos(theta+(4pi)/3)show that xy +...
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- if tan (theta/2)=sqrt((1-e)/(1+e))tan (varphi/2),then prove that cos v...
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- If x=-1+i sqrt2 and the value of x^(4)+4x^(3)+6x^(2)+4x+9.
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- If p, q. r in G.P and1/(p-a),1/(r-p),1/(q-r) are in AP.show that p+4q+...
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