Question

The value of a which each one
of the roots of x²-4ax+2a²-3 at50
is greater than 2 are​

Answer 1

option is

A

a∈(1,∞)

Let (α,β) be root of equation x

2

−4ax+2a

2

−3a+5=0...(1)

Given α>2 & β>2

now α+β>4...(2)

From eq (1) α+β=4a & αβ=2a

2

−3a+5

using eq(2) 4a>4

a>1

Hence aϵ(1,∞)

f.o.l.l.o w kar dena yrrr