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If the solution of the differential equa...

If the solution of the differential equation `(2x+3y-2)dx+(4x+6y-7)dy=0,y(0)=3` ,is
`alpha x + beta y+3log_(e) abs(2x+3y-gamma)=6` ,then `alpha+2 beta+3 gamma` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. The least positive integral value of alpha ,for which the angle betwee...

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  2. Let for a differentiable function f:(0,oo)rarr R,f(x)-f(y) ge log(e)((...

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  3. If the solution of the differential equation (2x+3y-2)dx+(4x+6y-7)dy=0...

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  4. Let the area of the region {(x,y):x-2y+4ge 0 , x+2y^(2) ge 0,x+4y^(2...

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  5. Let A=[[2,0,1],[1,1,0],[1,0,1]],B=[B(1),B(2),B(3)] ,where B(1),B(2),B(...

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  6. Let f:R-{-1/2}toR and g:R-{-5/2}toR be defined as f(x)=(2x+3)/(2x+1) g...

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  7. Let alpha=((4!)!)/((4!)^(3!)) and beta=((5!)!)/((5!)^(4!)) .Then:

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  8. Consider the function f:(0,2)rarr R defined by f(x)=(x)/(2)+(2)/(x) an...

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  9. An urn contains 6 white and 9 black balls. Two successive draws of 4 b...

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  10. Considering only the principal values of inverse trigonometric functio...

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  11. Let the position vectors of the vertices "A,B" and "C" of a triangle b...

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  12. The position vectors of the vertices A, B and C of a triangle are 2 ha...

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  13. If 20th term from the end of the progression 20, "19"1/4, "18"1/2,"17"...

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  14. For 0 lt alt 1 ,the value of the integral int(0)^( pi)(dx)/(1-2a cos x...

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  15. Let the image of the point "(1,0,7)" in the line (x)/(1)=(y-1)/(2)=(z-...

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  16. If 2tan^2theta-5sectheta=1 has exactly 7 solutions in [0,(npi)/2] for ...

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  17. Let e(1) be the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(9)...

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  18. lim(x rarr0)(3+alpha sin x+beta cos x+log(e)(1-x))/(3tan^(2)x)=(1)/(3)...

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  19. The values of alpha ,for which [[1,(3)/(2),alpha+(3)/(2)],[1,(1)/(3),a...

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  20. The integral int((x^(8)-x^(2))dx)/((x^(12)+3x^(6)+1)tan^(-1)(x^(3)+(1)...

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