What is the expansion of (x + y)^1000?(a) \(\Sigma_{r = 0}^{r = 1000}\)(1000Cr x^r – 1000 y^r)(b) \(\Sigma_{r = 0}^{r = 1000}\)(100Cr x^1000 – r y^r)(c) \(\Sigma_{r = 0}^{r = 999}\)(1000Cr x^r – 1000 y^r)(d) \(\Sigma_{r = 0}^{r = 999}\)(1000Cr x^1000 – r y^r)The question was posed to me in examination.Origin of the question is Binomial Theorem for Positive Integral Index topic in chapter Binomial Theorem of Mathematics – Class 11

What is the expansion of (x + y)^1000?(a) \(\Sigma_{r = 0}^{r = 1000}\

1.	What is the expansion of (x + y)^1000?(a) \(\Sigma_{r = 0}^{r = 1000}\)(1000Cr x^r – 1000 y^r)(b) \(\Sigma_{r = 0}^{r = 1000}\)(100Cr x^1000 – r y^r)(c) \(\Sigma_{r = 0}^{r = 999}\)(1000Cr x^r – 1000 y^r)(d) \(\Sigma_{r = 0}^{r = 999}\)(1000Cr x^1000 – r y^r)The question was posed to me in examination.Origin of the question is Binomial Theorem for Positive Integral Index topic in chapter Binomial Theorem of Mathematics – Class 11
Answer» The correct ANSWER is (b) \(\Sigma_{r = 0}^{r = 1000}\)(100Cr X^1000 – r y^r) To ELABORATE: The expansion can be done using binomial theorem. (x + y)^1000 = 1000C0 x^1000 y^0 + 1000C1 x^999 y^1 +….+ 1000C999 x^1 y^999 + 1000C1000 x^0 y^1000 This can also be WRITTEN as, (x + y)^1000 = \(\Sigma_{r = 0}^{r = 1000}\)(100Cr x^1000 – r y^r).

Discussion

No Comment Found

Related InterviewSolutions

Which of the following values of n are possible, if the middle term of (x + 3y)^n is the fifth term.(a) 6, 7 or 8(b) 7, 8 or 10(c) 7, 8 or 9(d) 8, 9 or 10The question was posed to me during an online interview.I want to ask this question from Binomial Theorem in chapter Binomial Theorem of Mathematics – Class 11
What is the value of \(\frac{7^3+2^3+84}{7^2-2^2}\) ?(a) 9 \(\frac{1}{2}\)(b) 9 \(\frac{2}{3}\)(c) 9 \(\frac{1}{3}\)(d) 9 \(\frac{1}{4}\)I had been asked this question in class test.I'd like to ask this question from Binomial Theorem for Positive Integral Index topic in division Binomial Theorem of Mathematics – Class 11
What is the coefficient of x^2y^2 in (x + 1)^2 . (x + 1)^3?(a) 1(b) 5(c) 2(d) 10This question was posed to me during an internship interview.I'm obligated to ask this question of Binomial Theorem for Positive Integral Index topic in division Binomial Theorem of Mathematics – Class 11
What is the value of n if the middle term (x + 2y)^2n + 1 is the 19^th term?(a) 33(b) 34(c) 35(d) 38I got this question in class test.I want to ask this question from Binomial Theorem topic in chapter Binomial Theorem of Mathematics – Class 11
What is the answer of \(\frac{x^2+y^2+2xy}{x^2-y^2}\)?(a) (x – y) (x + y)^-2(b) (x + y) (x – y)^-2(c) (x + y) (x – y)^-1(d) (x – y) (x + y)^-1I have been asked this question during an interview.This key question is from Binomial Theorem for Positive Integral Index topic in section Binomial Theorem of Mathematics – Class 11
What is the expansion of (x + y)^1000?(a) \(\Sigma_{r = 0}^{r = 1000}\)(1000Cr x^r – 1000 y^r)(b) \(\Sigma_{r = 0}^{r = 1000}\)(100Cr x^1000 – r y^r)(c) \(\Sigma_{r = 0}^{r = 999}\)(1000Cr x^r – 1000 y^r)(d) \(\Sigma_{r = 0}^{r = 999}\)(1000Cr x^1000 – r y^r)The question was posed to me in examination.Origin of the question is Binomial Theorem for Positive Integral Index topic in chapter Binomial Theorem of Mathematics – Class 11
What is the real part of (9 + 3i)^2?(a) 81(b) 90(c) 54(d) 72The question was asked in an online quiz.My question is taken from Binomial Theorem for Positive Integral Index in portion Binomial Theorem of Mathematics – Class 11
What is the integral part of (√3 + 1)^8?(a) 1558(b) 1551(c) 1552(d) 1556The question was posed to me during an interview for a job.This question is from Binomial Theorem for Positive Integral Index in division Binomial Theorem of Mathematics – Class 11
What is the middle term of (xyz + 3)^80?(a) ^80C41 (xyz)^41 (3)^39(b) ^80C40 (xyz)^40 (3)^40(c) ^80C39 (xyz)^39 (3)^40(d) ^80C41 (xyz)^41 (3)^40The question was asked in an interview.I need to ask this question from Binomial Theorem topic in section Binomial Theorem of Mathematics – Class 11
What are the coefficients of the first and the last term of (a + b)^n?(a) 2(b) 1(c) Coefficients depend on n(d) 3This question was posed to me in an online interview.This intriguing question comes from Binomial Theorem for Positive Integral Index topic in division Binomial Theorem of Mathematics – Class 11

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment