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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
- The cotangents of the angles pi//3, pi//4, pi//6 are in
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- If three are four harmonic means between 1/12, 1/42, then the third h...
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- Two harmonic means between 1/2, 4/17 are
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- H(1),H(2) are 2 H.M.'s between a,b then (H(1) + H(2))/(H(1).H(2)) =
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- Let a(1), a(2), …., a(10) be in A.P and h(1), h(2),…. , h(10) be I H.P...
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- If the arthimetic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(...
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- If the geometic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(n)...
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- If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...
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- x,y are two real numbers. If A is half of their sum, G is root of thei...
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- If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...
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- If H(1), H(2), ….. H(n) are n harmonic means between a and b (ne a), t...
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- The harmonic mean of two numbers is 4 their arithmetic mean is A and g...
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- The ratio of the harmonic mean to the geometric mean of two positive n...
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- If b + c, c + a , a + b are in A.P then a , b , c are in
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- If a^(2), b^(2), c^(2) are in A.P., then (a)/(b + c) , (b)/(c + a), (c...
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- IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...
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- IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...
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- If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...
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- If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...
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- Let f (x ) be a polynomial function of second degree. If f (1) = f( -1...
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