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If f(x)={ax^3+b, for 0 le x le 1 and 2co...

If `f(x)={ax^3+b,` for `0 le x le 1 and 2cospix+tan^-1x,` for `1 < x le 2` be the differentiable function in `[0,2],` then find `a and b,` (where [.] denotes the greatest integer function).

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RESONANCE DPP-JEE MAINS-All Questions
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  2. .Let a1, a2, a3... be in AP and g1, g2... be in GP If a1, g1=2 and a...

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  3. If f(x)={ax^3+b, for 0 le x le 1 and 2cospix+tan^-1x, for 1 < x le 2 b...

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  4. The straight line x/4+y/3=1 intersects the ellipse x^2/16+y^2/9 =1 at ...

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  5. Ifthe area bounded by the curve y=|cos^-1(sinx)|-|sin^-1(cos x)| and ...

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  6. A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&...

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  7. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

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  8. If |a|<|b|,b-a<1 and a,b are the real roots of the equation x^2-|alpha...

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  9. LetA(z1), B(z2) and C(z3) forms an acute angled triangle in argand pla...

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  10. If the area by y=x^2+2x-3 and the line y=k x+1 is the least, find k an...

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  11. Let z1, z2........ zn be equi-modular non-zero complex numbers such th...

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  12. Two circle S1 and S2 with centre C1&C2 intersect at X&Y. Secants L1&L2...

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  13. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

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  14. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

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  15. There are six periods in each working day of a school. Find the number...

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  16. Solve the following equation by using the general expressions for root...

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  17. If in 6 trials, X is a binomial variate which follows the relation 9P(...

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  18. If z1,z2,z3 are vertices of a triangle such that |z1-z2|=|z1-z3| then...

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  19. letp(x)=4x^2+6x+4 and q(y)=4y^2-12Y+25. Find the unique pairs of real ...

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  20. The values of 'K' for which the equation |x|^2 (|x|^2 – 2k + 1) = 1 - ...

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