If y - a-2x2-b-3x- where a- b- is a linear function and -a-b- - 4- then the possible values of b is-are

Given: y = (a 2)x^2+(b 3)x nbsp; The given function is linear when a 2 = 0 ⇒ a = 2 Now, |a b| =4 ⇒ a b = ± 4 ⇒ 2 b = ± 4 ⇒ b = 2+4, 2 4 ∴ b = 2, 6 ...

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Byju's Answer

Standard XIII

Mathematics

Absolute Value Function

If y = a-2x2+...

Question

If $y = (a - 2) x^{2} + (b - 3) x,$ where $a, b \in R$ is a linear function and $| a - b | = 4$ , then the possible value(s) of $b$ is/are

1

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Solution

The correct option is D $6$
Given: $y = (a - 2) x^{2} + (b - 3) x$
The given function is linear when
$a - 2 = 0 \Rightarrow a = 2$

Now, $| a - b | = 4$
$\Rightarrow a - b = \pm 4 \Rightarrow 2 - b = \pm 4 \Rightarrow - b = - 2 + 4, - 2 - 4 ∴ b = - 2, 6$

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If y=(a−2)x2+(b−3)x, where a,b∈R is a linear function and |a−b|=4, then the possible value(s) of b is/are

The correct option is D 6Given: y=(a−2)x2+(b−3)x The given function is linear when a−2=0⇒a=2 Now, |a−b|=4 ⇒a−b=±4⇒2−b=±4⇒−b=−2+4,−2−4∴b=−2,6

If $y = (a - 2) x^{2} + (b - 3) x,$ where $a, b \in R$ is a linear function and $| a - b | = 4$ , then the possible value(s) of $b$ is/are

The correct option is D $6$
Given: $y = (a - 2) x^{2} + (b - 3) x$
The given function is linear when
$a - 2 = 0 \Rightarrow a = 2$

Now, $| a - b | = 4$
$\Rightarrow a - b = \pm 4 \Rightarrow 2 - b = \pm 4 \Rightarrow - b = - 2 + 4, - 2 - 4 ∴ b = - 2, 6$