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Let S, T, U be three non-void sets and f...

Let S, T, U be three non-void sets and `f : S rarr T, g : T rarr U` be so that g o f : `S rarr U` is surjective. Then

A

g and f are both surjective

B

g is surjective, f may not be so

C

f is surjective, g may not be so

D

f and g both may not be surjective

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
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  2. Let f : X rarr Y and A, B are non-void subsets of Y, then (where the s...

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  3. Let S, T, U be three non-void sets and f : S rarr T, g : T rarr U be s...

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  4. The polar coordinate of a point P is (2, (pi)/(4)). The polar coordina...

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  5. The length of conjugate axis of a hyperbola is greater than the length...

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  6. Let f(x) = x^(4) - 4x^(3) + 4x^(2) + c, c in R. Then

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  7. The graphs of the polynomial x^(2)-1 and cos x intersect

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  8. A point is in motion along a hyperbola y = (10)/(x) so that its abscis...

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  9. Let a = min {x^(2) + 2x + 3 : x in R} and b = lim(theta rarr 0)(1-cos...

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  10. Let a gt b gt 0 and I(n) = a^(1//n) - b^(1//n), J(n) = (a-b)^(1//n) fo...

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  11. Let hat(alpha), hat(beta), hat(gamma)be three unit vectors such that h...

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  12. The position vectors of the points A, B, C and D are 3hat(i) - 2hat(j)...

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  14. For any non-zero complex number z, the minimum value of |z| + |z-1| is

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  15. Let A = ((3, 0, 3), (0, 3, 0), (3,0,3)). Then the roots of the equatio...

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  16. If A and B are (-2, -2) and (2, -4) respectively, find the coordinates...

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  17. Equation of a tangent to the hyperbola 5x^(2) - y^(2) = 5 and which pa...

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  18. Let f and g be differentiable on the interval I and let a, b in I, a l...

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  19. Consider the function f(x) = (x^(3))/(4) - sin pi x + 3

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  20. Let I(n) = int(0)^(1) x^(n) tan^(-1) x dx. If a(n) I(n+2) + b(n)I(n) =...

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