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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 54-MATHEMATICS
- If vecA=hati+hatj+hatk, vecB=4hati+3hatj+4hatk and vecC=hati+alpha hat...
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- If y=log{log(2)(x)}, then (dy)/(dx)is
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- The value of lim(x to 0)(1-cos^(3)x)/(sin x cos x) is
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- If P=int(1)^(2)((sqrt(x^(2)+1)+x-1)/(sqrt(x^(2)+1)+x+1))dx and Q=int...
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- If y=f(x) is passing through (1,2) satisfied the differential equation...
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- The value of the integral int(secx)/(sinx+cosx)dx
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- One of the sides of a triangle is divided into segments of 4 and 6 uni...
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- The number of positive integral values of a for which there is no solu...
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- The complete solution set for sin^(-1)(x)=3sin^(-1)(a) is
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- Which one of the following is a tautology?
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- In the expansion of 1/((1-x+x^(2))^(30), find the coefficien of x^(6) ...
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- If M=((1,2),(2,3)) and M^(2)-lamdaM-I(2)=O then 2^(lamda) must be
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- The number of five digit numbers that can be formed using all the dig...
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- If the roots of the quadratic equation (4p-p^(2)-5)x^(2)-(2p-1)x+3p=0 ...
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- If the line (x-1)/2=(y+1)/3=(z-1)/4 and (x-2)/1=(y-k)/2=z/1 are coplan...
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- Let f(x)={:((1+cosx)/((pi-x)^(2)). (sin^(2)x)/(log(1+pi^(2)-2pix+x^(2)...
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- The point nearest to the line x+y=7 and lying onan ellipse x^(2)+2y^(2...
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- Let f(x)=min(x+1,sqrt(1-x)) for all xle1. Then thrice of area (in squ...
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- The number of positive real roots of equation (x-1)(x-2)(x-3) +(x...
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- Let a(1),a(2),a(3),……….a(10) be in AP and h(1),h(2),h(3),………..h(10) be...
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