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If y=y(x) be the solution of given equat...

If `y=y(x)` be the solution of given equation `y^2dx+(x^2-xy+y^2)dy=0` and this curve also passes through `(1,1)`, line intersect at `y=sqrt3x` at `(alpha , sqrt3 alpha)` then the value of `log_e(sqrt3 x)`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. (x+1)dy/dx-y=e^(3x)(1+x)^2 , y(0)=1/3 then y((-4)/3) =

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  2. Consider P1 :~(p to ~q) and P2:(p wedge ~q) wedge ((~p) vvq) If p to ...

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  3. If y=y(x) be the solution of given equation y^2dx+(x^2-xy+y^2)dy=0 and...

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  4. If abs(veca)=3 abs(vecb)=4 and theta lies between pi/3 le theta le pi/...

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  5. If f(x)={(2(1-x/2))^25(2+x)^25}^(1/50) and g(x)=f(f(f(x)))+f(f(x)) the...

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  6. If Q is the mirror image of P(-1,0,-1) with respect to plane x+y+z=5 a...

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  7. Let A=[(0,-2),(2,0)] and M=sum(k=1)^10 A^(2k) , N=sum(k=1)^10 A^(2k-1)...

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  8. Let E1 and E2 be two events such that P(E1/E2)=1/2 , P(E2/E1)=3/4, P(E...

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  9. If the sum of first n terms of two A.P's are in the ratio 3n+8:7n+15 t...

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  10. (.^25C0)^2+(.^25C1)^2+(.^25C2)^2+. . . +(.^25C25)^2=k then find the va...

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  11. The value of tan^-1((cos((15pi)/4)-1)/sin(pi/4)) is equal to

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  12. What will be the coefficient of x^101 in (5+x)^500+x(5+x)^499+x^2(5+x)...

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  13. Find the sum of 1.3+2.3^2+3.3^3+ . . . + 10.3^9

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  14. If there is a biased dice with number "2,4,8,16,32,32" and probability...

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  15. 2 sin 12^@-sin 72^@=?

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  16. y=y(x) is the solution of the differential equation 2x^2dy/dx-2xy+8y^2...

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  17. A={x in R : abs(x+1) lt 2} , B={x in R: abs(x-1) ge 2} then

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  18. If the angle made by tangent at point (x0,y0) on the curve x=12(t+sint...

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  19. The area of region enclosed between the parabolas y^2=2x-1 & y^2=4x-3 ...

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  20. The negation of ((p wedge~q ) implies ((~p) vv q)

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