Let alpha , beta be the roots of x^2-x+p...

Let `alpha` , `beta` be the roots of `x^2-x+p=0 and gamma,delta` be the roots of `x^2-4x+q=0 `. If `alpha,beta,gamma` are in GP , then the integer values of p and q respectively are:

-2,-32

-2,3

-6,3

-6,-32

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK

An infinite GP has first term x and sum 5, then x belongs to
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2^(1/4),2^(2/8),2^(3/16),2^(4/32)......infty is equal to
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Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...
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If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...
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Sum of n terms of the series 8+88+888+....equals
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The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6...
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The sum of integer in between 1 to 100 which is divisible by 2 or 5 is
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1/2+3/4+7/8+15/16+..... t o n terms =
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0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...
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If x in{1,2,3......9} and fn(x) =x x x ...x (n digits ), then fn^2(3)+...
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Four no. are in AP . If their sum is 20 and the sum of their squares i...
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Sum of n terms of series 1.3+3.5+5.7+....is
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If the sum of an infinitely decreasing GP is 3, and the sum of the squ...
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1+2.2+3.2^2+4.2^3+....100.2^99 equals
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If A1,A2 be two AM's and G1,G2 be the two GM's between two number a an...
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If H1,H2,H3,.......Hn be n harmonic means between a and b then (H1+a)...
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If a,b,c are in AP and a^2,b^2,c^2 are in HP, then
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If between 1 and 1/31 there are n H.M's and ratio of 7th and (n-1)^th ...
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(a^(n+1)+b^(n+1))/(a^n+b^n) is AM/GM/HM, between a and b if n is equal...
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Sum of infinite terms of series 3+5. 1/4+7. 1/4^2+..... is
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