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A DAS GUPTA-Screening Tests-Exercise
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- If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...
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- If lim(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and ...
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- If int (sin x)/(sin (x-alpha))dx =Ax+B log sin (x-alpha)+C, then the ...
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- The solution of the differential equation y dx +(x +x^2 y) dy=0 is
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- If theta and phi are positive acute angles satisfying sin theta =1/2 a...
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- The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is
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- If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...
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- If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...
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- Let vec a , vec b, vec c be three non-zero vectors such that any two ...
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- The probability that A speaks truth is (4)/(5), while this probability...
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- If three distinct numbers are chosen randomly from the first 100 natur...
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- If 4x^4 +9y^4= 64 then the maximum value of x^2+y^2 is (where x and y ...
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- If log30(3)=alpha and log30(5)=beta, then log30(8) is equal to
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- An infinite G.P has first term x and sum 5 then x belongs to ?
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- The number of ways of distributing 8 identical balls in 3 distinct box...
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- The coefficient of the middle term in the binomial expansion in powers...
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