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If p and q are real number and p+q=3 , p...

If p and q are real number and `p+q=3 , p^4+q^4=369` then the value of `(1/p+1/q)^-2` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Find the area bounded by y^2=8x and y^2=16(3-x)

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  2. If function f:R to R , f(x)=x-1 and g(x)=x^2/(x^2+1) then fog is

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  3. If p and q are real number and p+q=3 , p^4+q^4=369 then the value of (...

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  4. z^2+z+1=0 , z in CC. Find abs(sum(k=1)^15(z^k+1/z^k)^2)=

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  5. Evaluvate 16 sin20^@ sin40^@ sin80^@

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  6. If x dy/dx+2y=xe^x where y(1)=0 then value of local maxima of z(x)=x^2...

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  7. 24/piint0^sqrt2 (2-x^2)/((2+x^2)(sqrt(4+x^4)))dx

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  8. r is an element of (p,q,~p,~q) p vv r to (p wedge q) vv r is a tautol...

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  9. int 1/x sqrt((1-x)/(1+x))dx=g(x)+c then find the value of g(1/2)

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  10. If A=sum(n=1)^oo 1/(3+(-1)^n)^n and B=sum(n=1)^oo (-1)^n/(3+(-1)^n)^n ...

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  11. The sides of a cuboid are 2x,4x , 5x. There is a closed hemisphere of ...

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  12. If the given system alphax+y+z=5 , x+2y+4z=4 and x+3y+5z=beta has infi...

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  13. Consider the function f(x)=min{1,1+x sinx} x in [o,pi]

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  14. The mean of 50 observation is 15 and the standard deviation is 2.Howev...

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  18. If slope of common tangent of circle x^2+y^2=12 and ellipse x^2/9+y^2/...

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  19. The number of three-digit number n such that greatest common divisor (...

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