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Number of integral solutions of the equation `(log)_(x-3)((log)_(2"x"^2-2"x"+3)(x^2+2x))=0` is a. 4 b. 2 c. 1 d. 0

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RESONANCE DPP-JEE MAINS-All Questions
  1. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

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  2. Solve the following inequations log3((1+ 2x)/(1+x))<1

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  3. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

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  4. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

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  5. The solution set of the equation, (x+1)log3 2x+4x(log)3x-16=0 is an ...

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  6. Consider the number N 7 7 4 9 5 8 P 9 6 Q (i) If P and the number N is...

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  7. 4/(9^(1//3)-3^(1//3)+1) is equal to 3^(1//3)+1 b. 3^(1//3)-1 c. 3^...

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  8. A 3-digit number has, from left to right, the digits a , b ,a n dcw i ...

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  9. ((x-5)^2(x+2)^3(x-4))/((x-3)^4)lt=0

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  10. IF (log)6(log)2[sqrt(4x+2)]+2sqrt(x)=0, then x= .

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

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  12. If a+b+c=2,a^2+b^2+c^2=1a n da b c=3t h e n1/a+1/b+1/c is equal to a. ...

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  13. Let the solution of the equation 5^(1+(log)4x)+5^(-1-1(log)4x)=(26)/5 ...

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  14. Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

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  15. If (log)(10)(1028)/(1024)=alphaa n d(log)(10)=beta, then the value of...

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  16. Which is greater ? sqrt12 or root(3)3

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  17. Find the largest number that will divide 398, 436 and 542 leaving r...

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  18. Let S= set of point inside the sqare, T= set of points inside the tria...

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  19. If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by x R y \ y...

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  20. If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 ...

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