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VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
- Let f(x)=ax^2 + bx+c whose roots are alpha and beta , a ne 0 and tr...
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- Let a, b, c be in an AP and a^2, b^2, c^2 be in GP. If a < b < c and a...
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- Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...
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- Three positive numbers form an increasing GP. If the middle terms in t...
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- If (10)^9+2(11)^2(10)^7 +….+10 (11)^9 = k(10)^9
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- The sum of first 20 terms of the sequence 0.7 ,0.77 , 0.777 …., is
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- An infinite G.P. has first term as a and sum 5, then a belongs to a) |...
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- Consider an infinite geometric series with first term a and common rat...
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- Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............
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- Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...
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- Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. Th...
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- Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...
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- If m is the A.M of two distict real numbers l and n (l, n gt 1)and G1,...
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- The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...
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- If alpha in (0,pi/2),t h e nsqrt(x^2+x)+(tan^2alpha)/(sqrt(x^2+x)) is ...
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- If a1,a2,a3,....an are positive real numbers whose product is a fixed ...
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- If a ,b ,c ,d are positive real umbers such that a=b+c+d=2,t h e nM=(a...
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- The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...
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- A pack contains n cards numbered from 1 to n . Two consecutive numbere...
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- Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...
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