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If `f(x)` and `g(x)` are two polynomials such that the polynomial `h(x)=xf(x^3)+x^2g(x^6)` is divisible by `x^2+x+1,` then (a)`f(1)=g(1)` (b) `f(1)=1g(1)` (c)`h(1)=0` (d) all of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x) be a non-constant twice differentiable function defined on (o...

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  2. The function y=x/(1+|x|): RvecR is one-one (b) onto (c) odd (d) ...

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  3. If f(x) and g(x) are two polynomials such that the polynomial h(x)=x...

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  4. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

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  5. Two sides of a triangle are (a + b) x + (a-b)y-2ab = 0 and (a-b)x + (a...

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  6. The equation of the plane which is equally inclined to the lines (x...

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  7. Leg pn=a^(P(n-1))-1,AAn=2,3, ,a n dl e tP1=a^x-1, where a in R^+dot ...

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  8. If int0^x f(t)dt=x+intx^1 t f(t)dt, then f(1)= (A) 1/2 (B) 0 (C) 1 (D)...

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  9. If f(x)=int(x^8+4)/(x^4-2x^2+2)dx and f(0)=0,t h e n (a)f(x) is an...

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  10. The number of values of x in the interval [0,(7pi)/2] satisfying the e...

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  11. If f(x)=int0^(pi/2)ln(1+xsin^2theta)/(sin^2theta) d theta, x >= 0 the...

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  12. The term independent of x in the expansion of (x-1/x)^4(x+1/x)^3...

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  13. The value of the definite integral int2^4(x(3-x)(4+x)(6-x)(10-x)+sinx...

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  14. In any triangle A B C ,sumasin(B-C) in equal to a b+b c+c a b. 0 c...

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  15. int0^(pi/4)((sinx+cosx)/(3+sin2x))dx

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  16. In an equilateral triangle, the inradius and the circumradius are c...

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  17. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

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  18. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

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  19. Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int (-...

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  20. If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot

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