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why there is always a phase change of pie whenever reflection takes place? ...
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Let f(x)=x (| x- π|) (2 + cos2x), x∈R. Then the function f: R→R is A) one - one but not onto B) onto but not one one C) both one-one and onto D) neither one one nor onto ...
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Let f(x)=x (| x- π|) (2 + cos2x), x∈R. Then the function f: R→R is A) one - one but not onto B) onto but not one one C) both one-one and onto D) neither one one nor onto ...
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Let z=a(cos π/5 + isin π/5), a∈r, | a | ≤1. Then z2010 +z2011............. equals? a) z2010/1-a b) a2010/1-a c) za2010/1-z d) a2010/1-z ...
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The sum of roots of the equation x + 1 - 2 log2 (2x + 3) + 2 log4 (10 - 2-x) = 0 is a) log211 b) log212 c) log213 d) log214 ...
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If f'(x2 - 4x + 3) > 0, then interval on which f(sin x) is increasing? ...
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Prove that point of discontinuity of the function f(x) = lim(x→∞) (2 sin x)2n/[3n - (2 cos x)2n] is nπ ± π/6 ...
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1) Is 1∞ = 1 or it is not defined? 2) Also what about 2∞, 3∞ etc. ? ...
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lim (n→∞) tan2nx is equal to A) 1 if x = 2nπ + π/4 B) 1 if x = nπ + π/4 C) 0 if x ≠nπ + π/4 D) 0 if nπ - π/4 < x < nπ + π/4 There may be more than one option correct ...
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f(x)= |x2n+1|, n belongs to N then, A) f(x) is continous but not differentiable at x=0 B) f(x) is differentiable at x=0 C) f(x) is discontinous at x=0 D) none of these. ...
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Let f(x) be the monotonic polynomial of (2m-1) degree where m belongs to natural no., then equation f(x)+f(3x)+f(5x)+. . . . . .f((2m-1)x) = 2m-1 has: A) At least one real root B) (2m-1) real roots C) exactly one real root D) ...
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If a1<a2<a3<a4<a5<a6, then equation (x-a1) (x-a3) (x-a5) + 3(x-a2) (x-a4) (x-a6)=0 has: A) three real roots B) a root in (-∞,a1) C) no real root in (a1,a2) D) no real root in (a5,a6) There may be more than on ...
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x2+x3≤x+f(x)≤x5-x3 , for value of x near 0, f(x) is: A) -1 B) 0 C) 1 D) none of these ...
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Three vertices are chosen at randomly from seven vertices of regular seven sided polygon. Probability that they form vertices of an isosceles triangle is: a) 1/7 b) 1/3 c) 3/7 d) 3/5 ...
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Can someone tell me about the research institutes like IISER. ...
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The Product (1 + tan1°) (1 + tan2°) (1 + tan3°) ........ (1 + tan45°) equals: a) 221 b) 222 c) 223 d) 224 ...
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Please help me.... *Image* ...
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What is the significance of negative work done? ...
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On full moon day, moon rises exactly when sun sets, say 6 p.m. in the month of June. At what time the moon will rise on very next day? a) 12/14 hours after 6 p.m. b) 14/12 hours after 6 p.m. c) 14/12 hours before 6 p.m. d) at ...
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The equation âˆ/2∫x sin2y. dy= 0 has: A) NO SOLUTION B) ONE SOLUTION C) TWO SOLUTIONS D) THREE SOLUTIONS ...
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Two pendulums with natural frequencies f1 and f2 are released in phase at same instant of time. After what interval will they come in phase again? a) 1/f1 + 1/f2 b) 1/f1 - 1/f2 c) 1/(f1.f2) d) L.C.M of 1/f1 and 1/f2 ...