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NTA MOCK TESTS-NTA JEE MOCK TEST 77-MATHEMATICS
- If S=sum(n=1)^(9999)(1)/((sqrtn+sqrt(n+1))(root4(n)+root4(n+1))), then...
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- Find the number of solution of the equation cot^(2) (sin x+3)=1 in [0,...
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- A special fair cubic die is rolled which has one blue side, two red si...
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- If the angles between the vectors veca and vecb, vecb and vecc, vecc a...
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- The x - intercept of the common tangent to the parabolas y^(2)=32x and...
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- Let A(x)=[(0,x-2,x-3),(x+2,0,x-5),(x+3,x+5,0)], then the matrix A(0)...
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- Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the ...
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- The domain of definiton of the function f(x)=(1)/(sqrt(x^(12)-x^(9)+x^...
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- If f(x)={{:(x^(2),:,"when x is rational"),(2-x,:,"when x is irrational...
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- The median of a set of 9 distinct observations is 20.5. If each of the...
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- The range of the function y=2sin^(-1)[x^(2)+(1)/(2)]+cos^(-1)[x^(2)-(1...
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- Which of the following functions satisfies all contains of the Rolle's...
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- Consider the definite integrals A=int(0)^(pi)sinx cosx^(2)xdx and B=in...
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- If the circle whose diameter is the major axis of the ellipse (x^(2))/...
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- The equation of the curve satisfying the differential equation xe^(x)s...
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- Let sqrta+sqrtd=sqrtc+sqrtb and ad=bc, where a, b, c, in R^(+). If the...
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- If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...
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- The value of lim(xrarr0)(1-cos^(3)x)/(sin^(2)xcos x) is equal to
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- The integral I=int(e^(sqrtx)cos(e^(sqrtx)))/(sqrtx)dx=f(x)+c (where, c...
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- Let A=[(1,3cos 2theta,1),(sin2theta, 1, 3 cos 2 theta),(1, sin 2 theta...
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