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

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=-8x, is lamda =

The value of the lambda so that P, Q, R, S on the sides OA, OB, OC and AB of a regular tetrahedron are coplanar. When (OP)/(OA)=1/3 ;(OQ)/(OB)=1/2 and (OS)/(AB)=lambda is (A) lamda=1/2 (B) lamda=-1 (C) lamda=0 (D) lamda=2

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

If veca, vecb, vecc are non coplanar vectors and lamda is a real number, then [(lamda(veca+vecb), lamda^(2)vecb, lamdavecc)]=[(veca, vecb+vecc,vecb)] for

If [vecaxxvecb vecbxxvecc veccxxveca]=lamda [veca vecb vecc]^2 then lamda is equal to (A) 1 (B) 2 (C) 3 (D) 0

Solve for a, lamda if log_lamda acdotlog_(5)lamdacdotlog_(lamda)25=2 .

If vecA=lamda(vecuxxvecv)+mu(vecvxxvecw)+v(vecwxxvecu) and [vecu vecv vecw]=1/5 then lamda +mu+v= (A) 5 (B) 10 (C) 15 (D) none of these

The wavelength of the first Lyman lines of hydrogen He^(+) and Li^(2+) ions and lamda_(1),lamda_(2)& lamda_(3) the ratio of these wavelengths is

If sin alpha = lamda sin (theta - alpha ) then prove that tan (alpha - (theta)/(2)) = (lamda -1)/( lamda +1) tan ""(theta)/(2).