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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
- Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...
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- int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4
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- The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0
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- Prove that int(0)^(2)|x^(2)+2x-3|dx=4
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- Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...
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- If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [...
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- Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...
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- If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...
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- prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...
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- In which of the following function, range is not singleton set f(x)...
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- If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...
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- Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...
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- If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...
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- The domain of the function f(x)=(1)/(sqrt(""^(10)C(x-1)-3xx""^(10)C(x)...
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- Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat ...
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- Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...
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- If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...
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- If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...
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- Straight line |2-x-y4 4 2xx-y-2 2x2y2y y-x-2|=0 passes through the fix...
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- If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...
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