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If sin x =cos^2 x, then the number of so...

If `sin x =cos^2 x`, then the number of solution in `x in (0,10)` are ___

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. lim(xto1) ((x^2-1)sin^2(pi x))/(x^4-2x^3+2x-1) is equal to

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  2. If the line (x-2)/3=(y-2)/4=(z+6)/2 intersects the plane 2x+4y+3z=0 at...

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  3. If sin x =cos^2 x, then the number of solution in x in (0,10) are

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  4. In the expansion of (2x^(1/5)-1/(x^(1/5)))^15 , coefficients of x^-1 a...

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  5. If A=[(2,-1),(0,2)], then the modulus of all elements of matrix B whic...

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  6. 3,6,9, . . . "upto" 78 terms 5,9,13, . . . "upto" 59 terms. Find th...

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  7. If S=1+5/6+10/6^2+16/6^3+. . . then find S

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  8. The number of complex number z such that abs(z)=3 and arg(z-1)-arg(z+1...

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  9. Number of four digit numbers in which first three digit number is divi...

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  10. triangleABC is inscribed in a circle x^2-sqrt2x+y^2=0 where angleABC=p...

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  11. A angle of elevation of the top of a tower from the top and bottom of ...

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  12. Negation of (p wedge q) implies (~p) wedge r is

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  13. Let alpha be the root of equation x^4+x^2+1=0 then the value of alpha^...

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  14. The two sides of a triangle are 2x-y-1=0 and x-2y+1=0 If orthocentre o...

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  15. If f(x)=x+int0^1(x-t)f(t)dt and then find f(t)

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  16. (1+e^(2x))dy/dx+2(1+y^2)e^x=0 , y(0)=0 ,find 6(f'(0)+(f(logsqrt3))^2)

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  17. Find the probability that a relation {x,y} to {x,y} is symmetric as we...

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  18. M=[(0,-alpha),(alpha,0)]. If (I-M^2)N=-2I & N =sum(k=1)^49M^(2k) ,then...

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  19. Area between x^2+y^2 le a^2 ,x^2/a^2+y^2/b^2 gt 1 is 30pi and area bet...

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  20. For any integer n , the integral int0^pi e^(sin^2 x) cos^3((2n+1)x)dx

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