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The number of real solutions of equation `x^(log_(x)2)+x^(2)=3x` is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. log(3)(1+(1)/(3))+log(3)(1+(1)/(4))+log(3)(1+(1)/(5))+..+log(3)(1+(1)/...

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  2. If [x]=[pi] , where [.] denotes greatest integer function, then (a) x ...

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  3. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

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  4. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

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  5. If log (10)xlog 15-a and log75-b, then log(75)45 is:

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  6. If x=underset(n=1)overset(2000)prodn, then the value of the expression...

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  7. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

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  8. The complete solution set of the inequation, -2<[x+2]lt=5w h e r e[dot...

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  9. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

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  10. Two consecutive vertices of a rectangle of area 10u n i t s^2 are (1, ...

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  11. The coordinates of the midpoints of the sides of a triangle A B C are ...

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  12. If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4)<1+b , t...

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  13. The number of roots of the equation 3^(|x|){|2-|x||}=1 is :

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  14. Solve 2cos^2theta+sinthetalt=2, where pi/2lt=thetalt=(3pi)/2dot

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  15. If A is a 3xx3 matrix such that |A|=-2, then |-2A^(-1)| is equal to

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  16. The acute angle between two straight lines passing through the point M...

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  17. Find the value of 'k' for which the following set of quadratic equatio...

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  18. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is (a) 0 (b) ...

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  19. Given that tanalpha and tanbeta,x^2-p x+q=0 , then value of sin^2(al...

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  20. If f(x)=(1-s in2x+cos2x)/(2cos2x) , then the value of f(16^0)dotf(29^0...

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