The sum of the roots of the equation 4cos3⁡x−4cos2⁡x−cos⁡(π+x)−1=0 in the interval [0, 315] is pπ where p is equal to

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

2500

2550

2600

2651

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

4cos3⁡x−4cos2⁡x+cos⁡x−1=0⇒ 4cos2⁡x+1(cos⁡x−1)=0⇒cos⁡x=1⇒x=2nπ100π<315<101π Required sum =2π+4π+…100π=2(1+2+…50)π=2×50×512π=2550π

Watch 3-min video & get full concept clarity