+91-87964 74404
FlagBACK
Question icon
Grade 11Algebra

If T0, T1, T2,......Tn represent the terms in the expansion of (x+a)n, then the value of (T0-T2+T4-T6+....)2 + (T1-T3+T5-....)2 is
(a) (x2 - a2)2
(b) (x2 + a2)n
(c) (a2 – x2)n
(d) None of these

Profile image of Gokul
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of Aditya Gupta
7 Years ago
this ques is based on two concepts: namely binomial theorem and complex numbers.
(x+a)n= T0+T1+T2+....+Tn
now we replace a by ia, where i = root(-1)
(x+ia)n= T0 + iT1 – T2 – iT3 + T4 + iT5 – …...= (T0 – T2 + T4 – ….) + i*(T1 – T3 + T5 – ….)
Take modulus both sides and square
 (x2 + a2)n = (T0-T2+T4-T6+....)2 + (T1-T3+T5-....)2
hence option B is correct.

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 3 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 3 Years ago