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

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

The magnitude of the vectors vec(a) and vec(b) are equal and the angle between the is 60^(@) the vectors lamda vec(a) + vec(b) and vec(a)- lamda vec(b) are perpendicular to each other them what is the value of lamda ?

alpha , beta are roots of the equation lamda (x^2-x)+x+5=0 If lamda_2 are the two values of lamda for which the roots alpha , beta are connceted by the relation ( alpha ) /( beta ) +( beta) /( alpha )=4 , then the value of ( lamda _1)/( lamda _2) +(lamda _2)/( lamda_1) is

If bara,barb,barc are non coplanar vectros and lamda is a real number then the vectors bara+2barb+3barc,lamda barb+4barc and (2lamda-1)barc are non coplanar for (A) all values of lamda (B) no value of lamda (C) all except two values of lamda (D) all except one value of lamda