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- Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...
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- Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...
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- |x^(2)-4x+4|ge 1
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- Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...
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- If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...
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- Circles with centres P,Q& S are touching each other externally as show...
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- The value of (P-Q) is equal to
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- The value of (P-R) is equal to
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- The value of (Q+R) is equal to
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- The sum sum(r=0)^(n) (r+1)C(r)^(2) is equal to :
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- In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...
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- Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...
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- Let P = sum(r=1)^(50)(""^(50+r)C(r)(2r-1))/(""^(50)C(r)(50+r)), Q = su...
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- Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...
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- If sum(r=0)^(n) (-1)^(r ).""^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...
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- Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...
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- The figure shows a rectangle ABCD with a semi-circle and a circle insc...
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- If sum(r=0)^(2n) a(r)(x-1)^(r) = sum(r=0)^(2n) b(r)(x-2)^(r) and b(r) ...
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- p is a prime number and n<p<2ndot If N=^(2n)Cn , then p dividesN b. p...
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- The sum of the greatest and the smallest term in (x+12)^(21) is zero t...
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