### MCQ's collected from all Engineering Entrance Examinations (Click here)

### Important Formulas:

,

, , ,

is

16.

17.

18. If is a rational number and then In the above series the general term is

19. If is a rational number and then

20. If is a rational number and then

21. If is a rational number and then

22. If is a rational number and then

23. If is a rational number and then

24. If is a rational number and then

25. If is a rational number and then

26. If is a rational number and then

27. If is a rational number and then

28. If is a rational number and then

29. Let and where, for is the integral part of then. If is not an integer , then is the numerically greatest term in the binomial expansion of

30.Let and where, for is the integral part of then. If is an integer , then are numerically greatest term in the binomial expansion of

31.The coefficient of in the expansion of is where for all

32.The term independent of in the expansion of is where

33.The number of non zero terms in the expansion of is if is odd

34.The number of non zero terms in the expansion of is if is even.

35.The number of non zero terms in the expansion of is if is even.

36.The number of non zero terms in the expansion of is if is odd

37. Multinomial Theorem: If and then .............1

where the summation is taken over all non negative integers such that and the number of terms in the expansion of 1 is

38.If and is polynomial , then sum of the coefficients in is

39.If and is polynomial , then sum of the coefficients of odd power of in is [sum of the coefficients of even terms]

40.If and is polynomial , then sum of the coefficients of odd power of in is [sum of the coefficients of odd terms]

41.If the coefficients of three consecutive terms in the expansion of are in A.P., then

42. The middle term in the expansion of is

for_BINOMIAL-THEOREM