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Find the value of sin^-1(sin ((2pi)/3))+...

Find the value of `sin^-1(sin ((2pi)/3))+cos^-1(cos((7pi)/6))+tan^-1(tan((5pi)/4))`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. f(x)=(2e^(2x))/(e^(2x)+e) then f(1/100)+f(2/100)+. . .+f(99/100)=?

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  2. The lengths of sides of a triangle are 10+x^2 , 10+x^2 and 20-2x^2 . I...

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  3. Find the value of sin^-1(sin ((2pi)/3))+cos^-1(cos((7pi)/6))+tan^-1(ta...

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  4. The area of the polygon , whose vertices are non-real roots of the equ...

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  5. X=sum(n=0)^oo a^n ,Y=sum(n=0)^oo b^n and Z=sum(n=0)^oo c^n where a,b,c...

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  6. If x1 , x2 , x3 , x4 , x5 are numbers from 1 to 18 such that x1 lt x2 ...

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  7. If lim(x to 7) (18-[1-x])/[[x-3a]] exists, where [.] represents greate...

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  8. If a differential equation , dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1...

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  9. If an ellipse x^2/a^2+y^2/b^2=1 passes through (-4sqrt(3/5),3) & its e...

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  10. A(6,1) is the vertex of triangle ABC , BC : 2x+y-4=0 & C moves on x+3y...

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  11. int ((x^2+1)e^x)/(x+1)^2=f(x)e^x. Find (d^3f)/(dx^3) at x=1

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  12. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

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  13. e^(2x)-11 e^x-45/e^x+81/2=0 , if the sum of roots is lnP then find the...

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  14. In total of 16 cubes , 11 are red and 5 are blue , then number of arra...

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  15. A rectangle is inscribed in a circle with diameter 2x+4=y and two vert...

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  16. Let the direction ratio's of two lines are roots of the equation l+m-n...

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  17. If the coefficient of x^10 in the expansion of (x^(1/2)/5^(1/4) +5^(1/...

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  18. Which of the follwoing is logically equivalent to ~(p wedge q) vv q

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  19. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

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  20. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

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