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Let f^(x) be continuous at x=0 If ("lim...

Let `f^(x)` be continuous at `x=0` If `("lim")_(xvec0)(2f(x)-3a(f(2x)+bf(8x))/(sin^2x)` exists and `f(0)!=0,f^(prime)(0)!=0,` then the value of `(3a)/b` is____

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RESONANCE DPP-JEE MAINS-All Questions
  1. Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is ...

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  2. If f(x) =int x^(m-1)dx then f^(m-1) x=0 where a) m is a negative int...

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  3. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

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  4. The minimum value of the function f(x)=x^(3//2)+x^(-3//2)-4(x+1/x) ...

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  5. Show that ("lim")(nvecoo)(1/(n+1)+1/(n+2)++1/(6n))=log6

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  6. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

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  7. From the point (15,12), three normals are drawn to the three co-normal...

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  8. The maximum area of the triangle formed by the complex coordinates z,...

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  9. Let (6sqrt(6)+14)^(2n+1)=R, if R be the fractional part of R, then pro...

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  10. The range of the function f(x) = sqrt(4 - x^2) + sqrt(x^2 - 1) is

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  11. Prove that: cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca...

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  12. The number of different quadrilaterals that can be formed by using the...

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  13. Let f(x)=(x^2-11x+18)/(x^2-7x+12) Match List-I with List-II and sele...

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  14. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

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  15. If f(x) = {(px + q, :x le 2),(x^2 - 5x + 6, : 2 < x < 3),(ax^2 + bx + ...

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  16. If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [...

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  17. Find the standard deviation for the following data: (i) x : , 3, 8, 13...

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  18. f(x)=[2x]sin3pixa n df^(prime)(k^(prime))=lambdakpi(-1)^k (where [.] d...

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  19. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pai...

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  20. If A is a square matrix of order 3 such that |A|=2 , then write the va...

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