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Find minimum and maximum value of `3cosx+5sin(x-pi/6)`

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JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. A(9,6), B(4,-4) lie on the parabola such that area of /\ABC is maximum...

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  2. If two circles with cenre (1,1) and radius 1 and circle with centre (9...

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  3. Find minimum and maximum value of 3cosx+5sin(x-pi/6)

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  4. For xgt1, " if " (2x)^(2y)=4e^(2x-2y)", then " (1+loge2x)^2(dy)//(dx) ...

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  5. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

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  6. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alpha in RR the...

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  7. If ratio of the roots of the quadratic equation 3m^2x^2+m(m-4)x+2=0 is...

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  8. Let fk=(1+2+3+?+k)/k Also is f1^2+f2^2+f3^2+?f10^2=5/12N, then the val...

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  9. Let a parabola be y=12-x^2. Find the maximum area of rectangle whose b...

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  10. A line is perpendicular to the line 2x-3y+5=0 and passes through the p...

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  11. Let vecaxx(vecbxxvecc)=vecb/2 and vecb, vecc are non parallel unit vec...

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  12. The statement ~(~prarrq) is equivalent to (A) pvv~q ...

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  13. There are m men and two women participating in a chess tournament. Eac...

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  14. If (3/4)^3+(1 1/2)^3 +(2 1/4)^3 +? upto 15 terms =225k, then k is equa...

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  15. Mean and variance of five observations are 4 and 5.2 respectively. If ...

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  16. lim(xrarr1^(-)) (sqrtpi-sqrt(2sin^-1x))/sqrt(1-x)= (A) sqrt(2...

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  17. If z1 and z2 lies on |z|=9 and |z-3-4i|=4 respectively, find minimum p...

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  18. If .^nC4, ^nC5 and .^nC6 are in A.P. then n is equal to (A) ...

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  19. If angle between the line (x-2)/1=(y-3)/2=(z+5)/(-2) and 2x-y-kz=lambd...

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  20. A dice is thrown repeatedly. If 5 or 6 appears, person wins Rs. 100 ot...

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