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The number of points, where the curve f(...

The number of points, where the curve `f(x)=e^(8x)-e^(6x)-3e^(4x)-e^(2x)+1, x in RR` cuts x-axis, is equal to ____

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The number of real roots of the equation e^(6x)-e^(4x)-2e^(3x)-12e^(2x)+e^(x)+1=0 is :

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let veca=hati+2hatj+3hatk and vecb=hati+hatj-hatk.If vecc is a vector ...

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  2. Let the tangent to the parabola y^2 = 12x at the point (3, alpha) be p...

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  3. The number of points, where the curve f(x)=e^(8x)-e^(6x)-3e^(4x)-e^(2x...

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  4. If the line l1 : 3y - 2x = 3 is the angular bisector of the lines l2 :...

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  5. Let S={z in CC-{i-2i}:(z^2+8iz-15)/(z^2-3iz-2) in RR}.If alpha-13/11i ...

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  6. Let (a+bx+cx^2)^10= sum(i=0)^(20) pi x^(i), a,b,c in NN. If p1=20 and ...

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  7. Let x= x(y) be the solution of the differential equation 2(y+2)loge(y+...

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  8. The total number of three-digit numbers, divisible by 3, which can be ...

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  9. The mean and standard deviation of 10 observations are 20 and 8 respec...

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  10. If the domain of the function f(x)=loge(4x^2+11x+6)+ sin^-1(4x+3)+cos^...

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  11. Let ABCD be a quadrilateral. If E and F are the mid points of the diag...

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  14. If the set {Re((z-barz+z barz)/(2-3z+5barz)):z in CC ,Re(z)=3} is equa...

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  16. If int(0)^(1) 1/((5+2x-2x^2)(1+e^(2-4x)))dx=1/alpha .loge((alpha+1)/be...

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  17. A bag contains 6 white and 4 black balls. A die is rolled once and the...

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  18. Let S be the set of all values of lamda, for which the shortest distan...

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  19. Let the system of linear equations -x+2y-9z=7 -x+3y+7z=9 -2x+y+5z=8 -3...

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  20. Let [x] denote the greatest integer function and f(x) =max {1+x+[x], 2...

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