If in the expansion of 1- x n - a - b - c are three consecutive coefficients- then n -A- a c-a b-b c-b2-a cB- None of theseC- 2 a c-a b-b c-b2-a cD- a b-a c-b2-a c

The correct option is C Trick: nbsp;Here a = nbsp;^n C nbsp;_r, b = nbsp;^n C nbsp;_r+1 nbsp;and c = nbsp;^n C nbsp;_r+2 Put n = 2, r = 0, the ...

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Sum of binomial coefficients with alternate signs

If in the exp...

Question

If in the expansion of $(1 + x)^{n}$ , a, b, c are three

consecutive coefficients, then n =

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None of these

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(- b c, b^{2} + b c, c^{2} + b c), (a^{2} + a c, - a c, c^{2} + a c)

(a^{2} + a b, b^{2} + a b, - a b)

Δ = ∣ ∣ ∣ ∣ ∣ \begin{matrix} b^{2} - a b & b - c & b c - a c a b - a^{2} & a - b & b^{2} - a b b c - a c & c - a & a b - a^{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

Δ

(b^{2} + a c + a b + b c)

(b + c)

If $a + b + c = 11$ and $a b + b c + a c = 32$
find
$a^{2} + b^{2} + c^{2}$

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