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NTA MOCK TESTS-NTA JEE MOCK TEST 43-MATHEMATICS
- If 4sin 26^(@)=sqrtalpha-sqrtbeta, then the value of alpha+beta is
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- If int(dx)/(sqrt(e^(x)-1))=2tan^(-1)(f(x))+C, (where x gt0 and C is th...
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- Consider I(alpha)=int(alpha)^(alpha^(2))(dx)/(x) (where alpha gt 0), t...
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- If the mean and the variance of the numbers a, b, 8, 5 and 10 are 6 an...
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- If the solution of the differential equation y^(3)x^(2)cos(x^(3))dx+si...
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- If cos^(-1)(n)/(2pi)gt(2pi)/(3) then maximum and minimum values of int...
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- The value of f(0) such that the function f(x)=(root3(1+2x)-root4(1+x))...
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- If m(1) and m(2) are slopes of the tangents to the ellipse (x^(2))/(16...
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- Let veca and vecb be non collinear vectors of which veca is a unit vec...
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- There are 6 positive numbers and 8 negative numbers. Three numbers are...
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- The image of the line (x)/(2)=(y-1)/(5)=(z+1)/(3) in the plane x+y+2z=...
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- A square matrix A of order 3 satisfies A^(2)=I-2A, where I is an ident...
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- The perimeter of a parallelogram whose sides are represented by the li...
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- If the length of the tangents from P(1, 3) and Q (3, 7) to a circle ar...
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- The length of the chord y=sqrt3x-2sqrt3 intercepted by the parabola y^...
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- If |Z-2|=2|Z-1|, then the value of (Re(Z))/(|Z|^(2)) is (where Z is a ...
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- If (1)(2020)+(2)(2019)+(3)(2018)+…….+(2020)(1)=2020xx2021xxk, then the...
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- The function f(x)=e^(x^(3)-6x^(2)+10) attains local extremum at x = a ...
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- If L=lim(xrarr(pi)/(4))((1-tanx(1)-sin2x))/((1+tanx)(pi-4x)^(3)), then...
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- If A and B are square matrices of order 3 such that "AA"^(T)=3B and 2A...
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