Q.

If cos4⁡θ+α and sin4⁡θ+α are the roots of the equation x2+2bx+b=0 and cos2⁡θ+β,sin2⁡θ+β are the roots of the equation  x2+4x+2=0, then values of b are

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya

a

2

b

-1

c

-2

d

1

answer is 1,2.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have, cos2⁡θ−sin2⁡θ=cos⁡2θ⇒ cos4⁡θ−sin4⁡θ=cos⁡2θ⇒ (−2b)2−4b=(−4)2−4×2(since L.H.S. is difference of roots of first equation and R.H.S. is difference of roots of second equation)or   4b2−4b=16−8=8or   4b2−4b−8=0or   b2−b−2=0or   (b+1)(b−2)=0or   b=2,−1
ctaimg
Choose your Grade and Exam
edit icon

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.

whats app icon