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Maths-

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Easy

Question

$a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent plus 2 g x plus 2 f y plus c equals 0$ represent two parallel lines if

$h^{2} = a b,$ $f^{2} > b c$
$h^{2} = a b,$ $h f = g b,$ $f^{2} < b c$
$h^{2} = a b,$ $h f = g b,$ $f^{2} > b c$
none of these

The correct answer is: $h to the power of 2 end exponent equals a b comma$ $h f equals g b comma$ $f to the power of 2 end exponent greater than b c$

$y equals fraction numerator negative left parenthesis h x plus f right parenthesis plus-or-minus square root of left parenthesis h to the power of 2 end exponent minus a b right parenthesis x to the power of 2 end exponent plus g x left parenthesis h f minus g b right parenthesis plus f to the power of 2 end exponent minus b c end root over denominator b end fraction$
to represent parallel lines $h to the power of 2 end exponent equals a b comma$ $h f equals g b comma$ $f to the power of 2 end exponent greater than b c.$

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