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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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1) Is 1∞ = 1 or it is not defined? 2) Also what about 2∞, 3∞ etc. ? ...
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How to solve this one? value of lim x->0 loge(sinx)^tanx ...
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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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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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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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\hspace{-16}$Evaluate $\mathbf{\cos (a).\cos (2a).\cos(3a).........\cos(999a)=}$\\\\ Where $\mathbf{a=\frac{2\pi}{1999}}$ ...
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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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Prove the following identities:- (1-cos2A)/sin2A - sin2A/(1+cos2A) = tanA Is the question correct??? ...
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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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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 ...
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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...
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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...
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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...
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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...
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1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...
