Q1)
The equation can be written as
The discriminant is
But it is well known that
so, and the roots are real.
The equality stands if and only if
need ur help people on few questions
Q1>>>Show that the roots of the equation
(x – a) (x – b) + (x – b) (x – c) + (x – c) (x – a) = 0
are always real and they cannot be equal unless a = b = c
Q2>>If w is a complex cube root of unity, then show that
(1 + 5w2 + w4) (1 + 5w + w2) (5 + w + w2) =64
Q3>>>A question paper contains 12 questions divided into two sections. Section I contains
7 questions and section II contains 5 questions. In how many ways can a candidate
choose the questions if he has to select 8 questions in all with teh restriction of
atleast 3 questions from each section?
Q4>>Let A =
|1 -1 0 |
|2 2 4 |
|2 3 4 |
and B =
|4 2 4 |
|0 1 2 |
|2 1 5 |
Find AB.
Use this to solve the following system of equations:
x – y = 3
2x + 3y + 4z = 17
y + 2z = 7
thanku for ur help frndz