Assignment Questions, 20101 - Nalanda Open University

Assignment Questions for Optional SubjectMATHEMATICS(Paper-II)Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)1. (a) If the area of a circle increases at a uniform rate then prove thattheperimeter variesinversely as the radius.(b) Show that of all the rectangles inscribed in a given fixed circle, the square has themaximum area.2. (a) Two unbiased dice are thrown. Find the probability that neither a doublet nor a total(b)of 10 will appear.A and B appear for an interview for two posts. The probability of A's selection is1/3 and that of B's selection is 2/5. Find the probability that only one of them isselected.3. (a) Two forces P and Q acting at a point have a resultant R. If Q is doubled, R isdoubled. Again, if Q be reversed in direction, R is again doubled. Show that, P : Q :R = √2 : √3 : √2(b)Three forces P, Q, R acting at a point are in equilibrium. The angle between P andQ is double of that between P and R. Prove that, R2 = Q2 - QPPHYSICS (Paper-II)Practical WorkCHEMISTRY (Paper-II)Practical WorlBIOLOGY(Paper-II)Practical Work