Let | | | | |---|---|---| | | | | | | | | and

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Let

\Delta(x) =

$x+a$	$x+b$	$x+a-c$
$x+b$	$x+c$	$x-1$
$x+c$	$x+d$	$x-b+d$

and

\int_0^1 \Delta(x)\,dx = -16

, where

a, b, c

and

d

are in AP, then the common difference of the AP is equal to (1)

\pm 1

(2)

\pm 2

(3)

\pm 3

(4)

\pm 4