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If y=((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqr...

If `y=((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqrt(x)+x+sqrt(x))+(1)/(15)(3cos^(2)x-5)cos^(3)x` ,then `96y'((pi)/(6))` is equal to____________

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. The lines L(1),L(2),...,L(20) are distinct.For n=1,2,3,...,10 all the ...

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  2. 3 point O(0,0),P(aa^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2....

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  3. If y=((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqrt(x)+x+sqrt(x))+(1)/(15)(3cos^...

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  4. Let "ABC" be an isosceles triangle in which "A" is at (-1,0),/A=(2 pi)...

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  5. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

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  6. The sum of squares of all possible values of "k" ,for which area of th...

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  7. A bag contains 8 balls,whose colours are either white or black. 4 ball...

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  8. The value of the integral int0^(pi/4) frac{xdx}{sin^4 2x+cos^4 2x} equ...

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  9. If A=[(sqrt2,1),(-1,sqrt2)],B=[(1,0),(0,1)], C=ABA^T,X=A^TC^2A then de...

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  10. If tan A = frac{1}{sqrt (x(x^2 + x + 1)}, tan B = frac{sqrt x}{sqrt (x...

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  11. If n is the number of ways five different employees can sit into four ...

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  12. Let S={ Z in C : | z - 1|=1 and (sqrt 2 - 1) (z + overline z) - i(z - ...

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  13. Let the median and the mean deviation about the median of 7 observatio...

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  14. Let vec a = - 5 hat i + hat j - 3 hat k, vec b = hat i + 2 hat j - 4 h...

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  15. Let S equiv {x in R : (sqrt 3 + sqrt 2)^x + (sqrt 3 - sqrt 2)^x = 10}....

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  16. The area bounded by xy+4y=16 and x+y=6 is

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  17. Let f :R to R and g : R rightarrow R be defined as f(x)={(loge x, x gt...

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  18. If the system of equations 2x + 3y – z = 5 x + alpha y + 3z = –4...

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  19. Suppose 0lt thetalt(pi)/(2) if the eccentricity of the hyperbola x^(2...

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  20. Let y = y(x) be the solution of the differential equation frac{dy}{dx}...

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