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Q.

To make the quadratic equation $a x^{2} + (2 b + 6) x + (c - 4) = 0$ as a pure quadratic equation

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a

$c = 4$

b

$b = 3$

c

$a = 1$

d

$b = - 3$

answer is C.

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Detailed Solution

$a x^{2} + (2 b + 6) x + (c - 4) = 0$

To make a pure quadratic equation

$2 b + 6 = 0 \Rightarrow 2 b = - 6 \Rightarrow b = - 3$

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To make the quadratic equation ax2+(2b+6)x+(c−4)=0 as a pure quadratic equation