Recently Active Mathematics Questions

The value of alpha for which the function f(x)=1+alpha x,,alpha e 0 is inverse of itself will be a) -2 b) -1 c) 1 d) 2 ...

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Find the numebr of solutions of the equation- 8[x2 - x] + 4[x]=13+12[sinx],where [.]denotes the G.I.F. ...

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If f(x1) + f(x2) = f{(x1+x2)/(1+x1x2)} , find f(x). ...

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limx→0 sin(Ï€cos2x)/x2 ...

mathop {lim }limits_{x o 0} frac{{sin (pi {{cos }^2}x)}}{{{x^2}}} = a) - pi b) pi c) frac{pi }{2} d) 1 ...

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find the pint on the curve y^2=4x which is nearest to the point (2, -8) ...

\int_{0}^{1}\frac{\log_{e}(1+x)}{1+x^2} ...

The value of cos {{1}^{o}}cos {{2}^{o}}cos {{3}^{o}}.....cos {{179}^{o}} is a) frac{1}{sqrt{2}} b) 0 c) 1 d) None of these ...

ABC is right angled triangle, right angled at B. Length of AC, and angle ∠BAC are given and We want to calculate the length of BC. What can we use? a) Sine b) Cos c) Tan d) Cot ...

Let R be a relation on N defined by x + 2y = 8 . The domain of R is a) {2, 4, 8} b) {2, 4, 6, 8} c) {2, 4, 6} d) {1, 2, 3, 4} ...

1. lim x→0 (1+x)1/x-e+ 1/2 ex/x2 2. lim x→0( ax+bx+cx/3 )2/x ...

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A particle moves in a straight line so that its velocity at any point is given by , where are constant. The acceleration is A. Zero B. Uniform C. Non-uniform D. Indeterminate ...

Prove that : CotA + Cot(60+a) - Cot(60 -a) = 3Cot3A ...

Prove that: TanA + Tan(60+a) - Tan(60 -a) = 3Tan3A ...

cos2x + cos22x + cos23x + cos24x=2...find the general value of x ...

\lim_{x\rightarrow \infty} 100[((x+1)(x+2)...(x+100))^{1/100} - x] ...

The angle of elevation of the sun, when the shadow of the pole is sqrt{3} times the height of the pole, is a) {{60}^{o}} b) {{30}^{o}} c) {{45}^{o}} d) {{15}^{o}} ...