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*Image* ...
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*Image* ...
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viii) f( x) =((2x-1)/(x-1)) ...
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Find the domain of the following fu *Image* nctions : ...
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*Image* ...
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no. of solns. of 2cos x =|sin x| in[-2Ï€,5Ï€] ...
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Domain of f(x)=log |log x| is a) (0,,infty ) b) (1,,infty ) c) (0,,1)cup ,(1,infty ) d) (-infty ,,1) ...
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If for two function f and g ; gof is a bijection, then correct statement is a) Both g and f must be bijections b) g must be a bijection c) f must be a bijection d) Neither of them may be a bijection ...
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The inverse of the function f(x)=frac{{{e}^{x}}-{{e}^{-x}}}{{{e}^{x}}+{e}^{-x}}}+2 is given by a) {{log }_{e}}{{left( frac{x-2}{x-1} ight)}^{frac{1}{2}}} b) {{log }_{e}}{{left( frac{x-1}{3-x} ight)}^{frac{1}{2}}} c) {{log }_{ ...
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Let f(x)=(1+{{b}^{2}}){{x}^{2}}+2bx+1 and m(b) the minimum value of f(x) for a given b. As b varies, the range of m(b) is a) [0,,1] b) left( 0,left. frac{1}{2} ight] ight. c) left[ frac{1}{2},,,1 ight] d) (0,,1] ...
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f(x)=cos sqrt{x}, correct statement is a) f(x) is periodic & its period =sqrt{2}pi b) f(x) is periodic & its period =4{{pi }^{2}} c) f(x) is periodic & its period =sqrt{pi } d) f(x) is not periodic ...
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If f(x) = frac{1}{{1 - x}} , then the derivative of the composite function f[f{ f(x)} ] is equal to a) 0 b) 1/2 c) 1 d) 2 ...
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Y= ex+e-x/ex-e-x p.t. dy/dx=1-y2 ...
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If cos(α-β)+cos(β-γ)+cos(γ-α)= -3/2 , then p.t. → cosα +cosβ +cosγ =sinα +sinβ +sinγ =0 . ...
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For x ≥ 0, the smallest value of the function f(x) = 4x2+8x +13/ 6(x+1) is : ...
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If S(n) = Σnk=1 4 k /4 k 4 + 1 then find the value of 221s(10)/10 lz show the ful sonn... ...
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If f :N→N such that f(f(x))=3x; Then find f(2013) ...
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simplify plz:- tan-1( (3a2x-x3)/a(a2-3x2) ) ...
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Write the following function in the simplest form :- tan_1√ 1-x/1+x ...
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Prove that tan 8θ -tan 6θ- tan 2θ = tan 8θ tan 6θtan 2θ ...
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Prove that sin2θ=(x+y)2/4xy possible for real values of x and y only when x is equal to y. x not equal to 0. ...
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If tan2θ = 1-k2,s.t. sec2θ+tan3θ cosecθ = (2-k2)3/2 ...
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A+B+C= Î /2 p.t. +cos2A+cos2B+cos2C=2(1+sinAsinBsinC) ...
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A ball is thrown vertically upward from the 12 metre level with an initial velocity Of 18 metres / second. At the same instant an open platform elevator passes the 5 metre level, moving upward with a constant velocity of 2 me ...
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A ball is thrown vertically upward from the 12 metre level with an initial velocity Of 18 metres / second. At the same instant an open platform elevator passes the 5 metre level, moving upward with a constant velocity of 2 me ...
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P.t. (1+x)3/4+( 1+5x) /(1-x)2 = 2+ 29/4 x + 297/32 x2(nearly ...) ...
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10 DISTINCT alphabetas are given. 5 letter words are to be formed . no. of ways in which at least one allphabet is repeated . is : ...
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show that ------- Lt (2+x)sin(2+x) - 2sin2 /x = 2cos2 + 2sin2 x→ 0 ...
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calcullate : Lt asinx-xsina /ax2-ax2x x→a. ...
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cosec θ = cot θ + √3 ...
