सिद्ध कीजिए कि `Q=(1)/(R)sqrt((L)/(C))`

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

Assertion (A) : Quality factor of a series LCR circuit is Q = (1)/(R) sqrt((L)/(C)) Reason (R) : As bandwidth decreases, Q increases in a resonant LCR circuit.

यदि triangleABC में (If इन triangleABC), a = (1)/(sqrt(6)-sqrt(2)), b = (1)/(sqrt(6)+sqrt(2)), C = 60^(@) तो सिद्ध कीजिए कि (Prove that) c = (sqrt(4))/(2) .

If C,R,L and I denot capacity resitance, inductance and electric current respecitively, the quantities having the same dimensions of time are (a) CR , (b) L//R , (c) sqrt(L//C) , (d) LI^(2)

If C,R,L and I denot capacity resitance, inductance and electric current respecitively, the quantities having the same dimensions of time are (a) CR , (b) L//R , (c) sqrt(L//C) , (d) LI^(2)

सिद्ध कीजिए कि |vecA xx vecB|^(2) + |vecA * vecB|^(2) = (AB)^(2).

If A=[(0, 2q, r),(p, q, -r),(p, -q, r)] and A A'=I then value of |p| is equal to (A) 1/sqrt3 (B) 1/sqrt2 (C) 1/sqrt6 (D) 1/sqrt5

[((a)/(b))^(sqrt(p)+sqrt(q))]^(sqrt(p)-sqrt(q))[((a)/(b))^(sqrt(q)+sqrt(r))]^(sqrt(q)-sqrt(r))[((a)/(b))^(sqrt(r)+sqrt(p))]^(sqrt(r)-sqrt(p))