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The number of solution of cos^(2)x+cos^(...

The number of solution of `cos^(2)x+cos^(2)2x=2` in `[0,20]` is equal to

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NTA MOCK TESTS-NTA JEE MOCK TEST 102-MATHEMATICS
  1. Two natrual numbers are randomly chosen and multiplied, then the chanc...

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  2. If alpha and beta are the roots of the equation x^(2)+x+c=0 such that ...

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  3. In a harmonic progression t(1), t(2), t(3),……………., it is given that t(...

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  4. The locus of the centre of the circle which makes equal intercepts on ...

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  5. Consider the system of equations alphax+y+z = p, x+alphay+z=q and x+y+...

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  6. The normal to the parabola y^(2)=4x at P(9, 6) meets the parabola agai...

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  7. The number of points where f(x)=|x^(2)-3|x|-4| is non - differentiable...

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  8. The complete set of values of alpha for which the lines (x-1)/(2)=(y-2...

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  9. Let f(x)=2x+1 and g(x)=int(f(x))/(x^(2)(x+1)^(2))dx. If 6g(2)+1=0 then...

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  10. Let f(x) be a cubic function such that f'(1)=f''(2)=0. If x=1 is a poi...

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  11. The maximum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7...

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  12. The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

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  13. The value of lim(xrarr0^(+)){x^(x^(2))+x^((x^(x)))} is equal to

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  14. The area (in sq. units) bounded by y=lnx, y =(x)/(e ) and y - axis is ...

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  15. Consider three vectors vecp=hati+hatj+hatk, vecq=3hati-hatj+hatk and v...

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  16. If sintheta+sin^(2)theta=1, then prove that cos^(12)theta+3cos^(10)the...

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  17. If y=f(x) satisfies the differential equation (dy)/(dx)+(2x)/(1+x^(2))...

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  18. If the variance of the first 50 odd natural numbers is V(1) and the va...

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  19. If I(1)=int(0)^((pi)/(2))e^(sinx)(1+x cos x)dx and I(2)=int(0)^((pi)/(...

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  20. The number of solution of cos^(2)x+cos^(2)2x=2 in [0,20] is equal to

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