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Q.

The value of $a - b x + c x^{2}$ at $x = \frac{a}{b}$ is

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a

$\frac{a^{2} c}{b^{2}}$

b

$\frac{a c^{2}}{b^{2}}$

c

$\frac{a^{2} c}{b}$

d

$\frac{a^{2} c^{2}}{b^{2}}$

answer is A.

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Detailed Solution

given $x = \frac{a}{b}$ then $a - b x + c x^{2}$

$a - b (\frac{a}{b}) + c {(\frac{a}{b})}^{2}$

$\Rightarrow a - a + c (\frac{a^{2}}{b^{2}})$

$\Rightarrow \frac{c a^{2}}{b^{2}} (o r) \frac{a^{2} c}{b^{2}}$

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The value of a-bx+cx2 at x=ab is