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Let the solution curve x=x(y) , 0 lt y l...

Let the solution curve `x=x(y) , 0 lt y lt pi/2`, of the differentail equation `(log_e(cosy))^2cosy dx-(1+3x log_e(cosy))sin y dy=0` satisfy `x(pi/3)=1/(2 log_e 2)`. If `x(pi/6)=1/(log_em-log_e n)`,where m and n are coprime, then `"mn"` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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  2. The ordinates of the points P and Q on the parabola with focus (3,0) a...

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  3. Let the solution curve x=x(y) , 0 lt y lt pi/2, of the differentail eq...

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  4. Let R={a,b,c,d,e} and S={1,2,3,4}. Total number of onto function f:R t...

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  5. If domain of the function loge((6x^2+5x+1)/(2x-1))+cos^-1((2x^2-3x+4)/...

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  6. Let [t] denote the greatest integer function. If int0^(2.4) [x^2]dx=al...

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  7. Let the area enclosed by the lines x+y=2 , y=0,x=0 and the curve f(x)=...

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  8. Let 0 lt z lt y lt x be three real number such that 1/x,1/y,1/z are in...

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  9. Let P1 be the plane 3x-y-7z=11 and P2 be the plane passing through the...

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  11. The number of elements in the set S={theta in [0,2pi]:3cos^4 theta -5...

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  15. If equation of the plane that contains the point (-2,3,5) and is perpe...

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