If sin A + cos A = m and `sin^3 A + cos^3A=n`, then (1) `m^3-3m + n = 0` (2) `n^3-3n + 2m=0` (3) `m^3-3m + 2n = 0` (4) `m3 + 3m + 2n = 0 `

If sinA+cosA=m an sin^(3)A+cos^(3)A=n, then

If cos ec theta - sin theta = m and sec theta - cos theta = n, then show that (m ^(2) n ) ^(2//3) + (mn ^(2)) ^( 2//3) = 1.

If l : m = 2 (1)/(2) : 1(2)/(3) and m : n = 1 (1)/(4) : 3 (1)/(2) , find l : m : n

Find the value of m and n : if : ( 3+ sqrt2 )/( 3- sqrt2) = m + n sqrt2

If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3alpha sin^3alpha = n then (m + n)^(2/3) + (m-n)^(2/3)

If A and B are two matrices of the order 3 xx m and 3 xx n , respectively and m= n, then order of matrix (5A-2B) is (a) m xx 3 (b) 3 xx 3 (c) m xx n (d) 3 xx n

If A and B are two matrices of the order 3 xx m and 3 xx n , respectively and m= n, then order of matrix (5A-2B) is (a) m xx 3 (b) 3 xx 3 (c) m xx n (d) 3 xx n

The decrerasing order of energy for the electrons represented by the following sets of quantum number is : 1. n = 4,l = 0,m = 0,s = +- 1//2 2. n = 3,l = 1,m = 1,s = - 1//2 3. n = 3,l = 2,m = 0,s = + 1//2 4. n = 3,l = 0,m = 0,s = - 1//2

The empirical relation between mean, mode and median is (a) Mod e\ =\ 3\ M e d i a n\ -2\ M e a n (b) Mod e=2\ M e d i a n-3\ M e a n (c) M e d i a n=3\ Mod e-2\ M e a n (d) M e a n=3\ M e d i a n-2\ Mod e