A - b - b c l lb - c - c dc - d - delllendvmatrix - where a - b - c - d - e are in A-P with common difference D-A- D 4B- - D 4C- 2 D 4D- -2 D 4

The correct option is D 2D^4b a=c b=d c=e d=D c a=d b=e c=2D nbsp;R_3→ R_3 R_2 Δ= a amp; b amp; bc b amp; c amp; cd D amp; D amp; 2dD ...

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Area Method to Find Condition for Co-Linearity

a & b & b c l...

Question

$The value of ∣ ∣ ∣ ∣ \begin{matrix} a & b & b c b & c & c d c & d & d e \end{matrix} ∣ ∣ ∣ ∣,$
where $a, b, c, d, e$ are in A.P with common difference $D$ .

D^{4}

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- D^{4}

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2 D^{4}

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- 2 D^{4}

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Solution

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Similar questions

	List 1		List 2
A.	If $a, b, c, d$ are in A.P., then (where $a, b, c & d$ $\in R^{+}$ )	1.	$a + d > b + c$
B.	If $a, b, c, d$ are in G.P, then (where $a, b, c & d$ $\in R^{+}$ )	2.	$b c > a d$
C.	The sum of $n$ terms of an A.P. is given by $S_{n} = b n + c n^{2}$ where $b$ and $c$ are independent of $n$ , then	3.	$T_{n} = b + (2 n - 1) c$
		4.	Common difference $(D) = (2 b - 4)$

Δ (x) = ∣ ∣ ∣ ∣ \begin{matrix} x + a & x + b & x + a - c x + b & x + c & x - 1 x + c & x + d & x - b + d \end{matrix} ∣ ∣ ∣ ∣

2 \int 0 Δ (x) d x = - 16,

a, b, c, d

Δ (x) = ∣ ∣ ∣ ∣ \begin{matrix} x + a & x + b & x + a - c x + b & x + c & x - 1 x + c & x + d & x - b + d \end{matrix} ∣ ∣ ∣ ∣

2 \int 0 Δ (x) d x = - 16,

a, b, c, d

e = \frac{(b - a)^{2}}{a}

If a, b, c are in A.P. b, c, d are in G.P. and $\frac{1}{c}, \frac{1}{d}, \frac{1}{e}$ are in A.P., prove that a, c, e are in G.p.

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