Let `m=t a n3\ a n d\ n=s e c6,\ ` then which of the following statement(s) does/do not hold goods? a.`m\ &\ n\ ` both are positive b. `m\ &\ n` both are negative c.`m` is positive and `n` is negative d. `m` is negative and `n` is positive

U= {h, i, j, k, l, m, n, o, p} then find the complement of the following sets : C= {i, j, l, m, n}

For any positive integer n, prove that n^(3) - n is divisible by 6.

Let M and N be two 3xx3 matrices such that MN=NM . Further if M!=N^2 and M^2=N^4 then which of the following are correct.

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 3/4

If m and n are the two natural number such that m^(n)=9 , then find the value of n^(m) :-

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 7/25

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 51/64

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 14/25

Write the denominator of the following rational numbers in 2^(n)5^(m) form where n and m are non-negative integers and then write them in their decimal form 80/100

Depending on in which quadrant an angle theta lies, functions costheta and sintheta may be positive or negative. In the second column of the given lable are specified whether these functions are positive or negative and in the first column are specified quadrants. {:("Column-I","Column-II"),((A)" First",(P)sintheta" is positive"),((B)" Second",(Q)sintheta" is negative"),((C)" Third",(R)costheta" is negative"),((D)" Fourth",(S)tantheta" and "sintheta"both are negative"),(,(T)sectheta" is negative and "sintheta" is positive"):}