If A is a square matrix of order `nxxn` and `lamda` is a scalar then `|lamdaA|` is (A) `lamda|A|` (B) `lamda^n|A|` (C) `|lamda||A|` (D) none of these

The points A-=(3,10),B-=(12,-5)and C-=(lamda,10) are collinear then lamda= (A) 3 (B) 4 (C) 5 (D) none of these

If vec(a) is a non-zero vector of modulus a and lamda is a non-zero scalar and lamda vec(a) is a unit vector, then

If the matrix [(1,3,lamda+2),(2,4,8),(3,5,10)] is singular then find lamda

If |a| = 3 , |b| = 4 , then a value of lamda for which a + lamda b is perpendicular to a - lamda b is

The area enclosed between E_(lamda)-lamda curve and lamda -axis is equal to

A dye absorbs a photon of wavelength lamda and re-emits the same energy into two photns of wavelength lamda_(1) and lamda_(2) respectively. The wavelength lamda is related to lamda_(1) and lamda_(2) as :

For which value(s) of lamda , do the pair of linear equations lamda x+ y= lamda^(2) and x+ lamda y= 1 have no solution?