Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If (1 + x) 10 = a 0 + a 1 x + a 2 x 2 +......+ a 10 x 10 , then value of
Text Solution
Verified by ExpertsThe correct answer is:
A
(1 + x) 10 = a 0 + a 1 + a 2 x 2 +...... + a 10 x 10
Put x = i,
(1 + i) 10 = a 0 – a 2 + a 4 + ....+ a 10 + i (a 1 – a 3 + .....+ a 9 )
a 0 – a 2 + a 4 + ....+ a 10 = real part of (1 + i) 10 = 2 5 cos10 π /4
a 1 – a 3 + ....... = imaginary part of (1 + i) 10 = 2 5 sin10 π /4 ....(2)
(1) 2 + (2) 2 = 2 10
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems