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The minimum value of the sum of the square of the roots of the equation `x^2+(3-a)x=2a-1` is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The area of region between the curve y=abs(x^2-1) and y=1 is :

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  2. The interval in which abscissa of point P on y=x^2 lies such that its ...

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  3. The minimum value of the sum of the square of the roots of the equatio...

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  4. Let A={1,2,3,4,5,6} , B={3,4,6,7,9} and C=A uu B , then number of elem...

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  5. The equation of the common tangent to the parabola y=x^2 and y=-(x-2)^...

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  6. If x-1=0 is directrix of hyperbola kx^2-y^2=6 then the point lying on ...

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  7. If z=x+iy , absz-2=0 and abs(z-i)-abs(z+5i)=0 , then which of the foll...

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  8. If lim(x to 0) (alpha x -(e^(3x)-1))/(alpha x (e^(3x)-1))=beta then al...

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  9. Let roots of x^2-4x-6=0 are the abscissa and roots of y^2+2y-7=0 are t...

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  10. Biased coins have probability of getting head is 2/3 and x is number o...

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  11. Let A={1,2,3,. . . ,7} , B={3,6,7,9} be two set and S={C sube A; CnnB ...

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  12. Let y(x) be the solution of the differential equation dy/dx+(xy)/(x^2-...

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  13. sum(i=0)^n sum(j=0)^n .^nCi xx ^nCj , (i ne j) is equal to :

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  14. The value of ln2 d/dx(log(cos x) cosec x) at x =pi/4 is

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  15. In a group of AP having 1st term 100 and last term 199. If number of t...

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  16. dy/dx-y=1-e^-x represent a curve y=f(x) such that lim(x to 0) f(x) is ...

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  17. sin^-1x/alpha=cos^-1x/beta then value of sin((2 pi alpha)/(alpha+beta)...

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  18. If x^2+y^2+2ax+2by+c=0 is a circle whose diameter is PQ such that absc...

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  19. Let A=[(a,b),(c,d)] be a matrix such that A=A^-1 where a , b , c ,d in...

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  20. Let means and standard deviation of 40 observations are 30 and 5 respe...

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