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If lim(xrarr0)(sin2x-a sin x)/(((x)/(3))...

If `lim_(xrarr0)(sin2x-a sin x)/(((x)/(3))^(3))=L` exists finitely, then the absolute value of L is equal to

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NTA MOCK TESTS-NTA JEE MOCK TEST 90-MATHEMATICS
  1. The angle between the tangents drawn from the point (4, 1) to the para...

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  2. Let A and B be two symmetric matrices. prove that AB=BA if and only if...

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  3. A biased coin is tossed repeatedly until a tail appears for the first ...

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  4. The remainder obtained when 51^25 is divided by 13 is

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  5. 5/(1^2*4^2)+11/(4^2*7^2)+17/(7^2*1 0^2)+

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  6. If the area bounded by the curves {(x, y)|x^(2)-y+1 ge 0} and {(x, y)|...

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  7. Find the number of ordered pairs of (x, y) satisfying the equation y =...

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  8. Let P-=(a, 0), Q-=(-1, 0) and R-=(2, 0) are three given points. If the...

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  9. The equation of the plane which passes through the point of intersecti...

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  10. If the common tangets of x^(2)+y^(2)=r^(2) and (x^(2))/(16)+(y^(2))/(9...

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  11. If z(i) (where i=1, 2,………………..6) be the roots of the equation z^(6)+z^...

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  12. The cosine of the acute angle between the curves y=|x^(2)-1| and y=|x^...

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  13. The integral I=int((1)/(x.secx)-ln(x^(sinx)))dx simplifies to (where, ...

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  14. If 0 < alpha < pi/3, then alpha(secalpha) is

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  15. If the curve satisfies the differential equation x.(dy)/(dx)=x^(2)+y-2...

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  16. If lim(xrarr0)(sin2x-a sin x)/(((x)/(3))^(3))=L exists finitely, then ...

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  17. Let A=[a(ij)](5xx5) is a matrix such that a(ij)={(3,AA i= j),(0,Aai ne...

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  18. If the number of solutions of the equation x+y+z=20, where 1 le x lt y...

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  19. From the point A(0, 3) on the circle x^(2)+4x+(y-3)^(2)=0, a chord AB ...

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  20. I=int(0)^(2)(e^(f(x)))/(e^(f(x))+e^(f(2-x)))dx is equal to

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