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Binomial Theorem question

2005 · Shift 0 · Q101

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2005 · Shift 0 · Q101

Binomial Theorem question

2005 · Shift 0 · Q101

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If the coefficients of rth, (r+1)th, and (r + 2)th terms in the binomial expansion of

{{\rm{(1 + y )}}^m}

are in A.P., then m and r satisfy the equation

A
${m^2} - m(4r - 1) + 4\,{r^2} - 2 = 0$
B
${m^2} - m(4r + 1) + 4\,{r^2} + 2 = 0$
C
${m^2} - m(4r + 1) + 4\,{r^2} - 2 = 0$
D
${m^2} - m(4r - 1) + 4\,{r^2} + 2 = 0$

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