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If the curves `C_1 : y= (In x)/x` and `C_2 : y=lambdax^2` (where `lambda` is constant) touches each other, then the value of `lambda` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-...

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  2. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 is [...

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  3. If the curves C1 : y= (In x)/x and C2 : y=lambdax^2 (where lambda is c...

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  4. A die is rolled and showing any number is directly proportional to tha...

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  5. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

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  6. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal ...

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  7. The value of ' a ' for which the sum of the squares of the roots of th...

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  8. Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-...

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  9. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

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  10. Let f(x) =4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x,a be any re...

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  11. Suppose that E1 and E2 are two events of a random experiment such that...

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  12. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then M^9 9/N b. N^9=9/M c. M^...

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  13. Consider the quadratic equation az^(2)+bz+c=0 where a,b,c are non-zero...

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  14. Value of [2/((log)4(2000)^6)+3/((log)5(2000)^6)] is 4^(1/3). 5^(1//2) ...

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  15. Find the whole area included between the curve x^2)y^(2) = a^(2)(y^(2)...

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  16. The number of ways of choosing triplet (x , y ,z) such that zgtmax{x,...

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  17. If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a.a=b=c=0 b. a+...

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  18. The number of isosceles Deltas with integer sides if no side exeeds 20...

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  19. Solve for x :(log)2(4(4^x+1))dotlog2(4^x+1)=(log)(1/(sqrt(2)))1/(sqrt(...

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  20. Let f(x) =4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x,a be any re...

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