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The number of roots of the equation (log...

The number of roots of the equation `(log)_(3sqrt("x"))x+(log)_(3x)sqrt(x)=0` is 1 (b) 2 (c) 3 (d) 0

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If roots of x^3+bx^2+cx+d=0 are (A) in A.P. then 2b^3-9bc+27d=0 (B) ...

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  2. Prove 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

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  3. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

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  4. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  5. If y(x) is the solution of the differential equation (dy)/(dx)=-2x (y-...

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  6. If alpha and beta are the roots of the quadratic equation x^(2) - 4...

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  7. Let f (x) =x^(2), lamda x+ mu cos x, lamda being an integer and mu us ...

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  8. Value of lambda for which(lambda,lambda^2) lies between the lines |x+2...

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  9. Solve for x :5^(logx)+5x^(log5)=3(a >0); where base oflog\ is a

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  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  11. Let C(1) and C(2) are circles defined by x^(2) + y^(2) - 20x + 64 = 0 ...

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  12. The number solution of the equation sgn(x^2)=|x-2| is (a)1 (b) 0 ...

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  13. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

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  14. The function f(x)={(1-2x+3-4x^(3)+…oo,|x|lt1),(1,x=-1):}

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  15. Let f:RtoR be a differentiable function such that f(x)=x^(2)+int(0)^(x...

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  16. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

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  17. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

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  18. The solution of the equation 7^(logx)-5^(logx+1)=3. 5^(logx-1)-13. 7^(...

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  19. int0^1(e^x dx)/(1+e^x)

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  20. Find the equation of the curve in which the perpendicular from the ori...

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