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NTA MOCK TESTS-NTA JEE MOCK TEST 106-MATHEMATICS
- If f(x)=x^(2)+(x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+…… upto, oo, t...
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- The area (in square units) bounded byy=x^(2)+x+1 and x+y=2 is
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- Suppose cos^(2)y.(dy)/(dx)=sin(x+y)+sin(x-y), |x| le (pi)/(2) and |y|l...
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- If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...
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- If a number of ellipse whose major axis is x - axis and the minor axis...
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- Find the set of all values of a for which the roots of the equation x^...
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- Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin...
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- Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in...
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- Let veca=(cos theta)hati-(sin theta)hatj, vecb=(sin theta)hati+(cos th...
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- Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...
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- A line is drawn from the point P(1, 1, 1) and perpendicular to a line ...
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- If alpha,beta,gamma are the roots of p x^2+q x^2+r=0, then the value o...
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- If f(x)=sin^(-1)""(2*(3)^(x))/(1+9^(x)), then f'(-(1)/(2)) is equal to
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- The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...
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- The number of ways in which four different letters can be put in their...
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- The maximum number of points on the parabola y^(2)=16x which re equidi...
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- The slope of the tangent to the curve y=x^(3)+x+54 which also passes t...
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- In an arithmetic progression containing 99 terms, then sum of all the ...
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- Consider the system of equations ax+y+bz=0, bx+y+az=0 and ax+by+abz=0 ...
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- Let A(z(1)),B(z(2)) and C(z(3)) be complex numbers satisfying the equa...
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