Maths Part-II Graduation (Senior Teacher) MCQ - Practice Questions

1Let H be a subgroup of a finite group G with |G|=84 and |H|=12. What is the number of left cosets of H in G?

2The area bounded by the curve xy = 1, y = x, x = e and y = 0 is divided by the line x = 1 in the ratio

3If √(7√(7√(7√(7√7)))) = 7ˣ, then value of x is –

4The sequence ∑ 1/(nᵖ+nqx²), ∀x ∈ R is uniformly convergent, if -

5The polar curves r = a sin theta and r = a cos theta intersect away from the pole. What is the angle of intersection at that point?