Home
Class 12
MATHS
Roots of the quadratic equation (x^(2)-4...

Roots of the quadratic equation `(x^(2)-4x+3)+lambda(x^(2)-6x+8)=0, lambda epsilon R` will be

A

real and unequal roots for all `lambda`

B

real roots for `lambda lt 0`

C

real roots for `lambda gt 0`

D

real and unequal roots for `lambda = 0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

Root of the quadratic equation x^2+6x-2=0

Roots of the equation (x^2-4x+3)+lamda(x^2-6x+8)=0 , lamda in R will be

Minimum possible number of positive root of the quadratic equation x^2 -(1 +lambda)x+ lambda -2 =0 , lambda in R

The values of lambda such that sum of the squares of the roots of the quadratic equation x^(2) + (3 - lambda) x + 2 = lambda has the least value is

Find the roots of the quadratic equation 6x^2-x-2=0 .

The roots of the quadratic equation 2x^2 - x - 6 = 0 are

Find the roots of the quadratic equation 3x^2-2sqrt(6)x+2=0