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Maths-

General

Easy

Question

The line $ell$ x + my + n = 0 will touch the parabola y² = 4ax, if

mn = a $ℓ$ ²
$ℓ$ m = an²
$ℓ$ n = am²
mn = a $ℓ$

The correct answer is: $ell$ n = am²

$ell$ n + my + n = 0 $rightwards double arrow$ y = $fraction numerator negative l x over denominator m end fraction minus fraction numerator n over denominator m end fraction$
Condition of tangency c = $fraction numerator a over denominator m end fraction$ $rightwards double arrow$ $fraction numerator negative n over denominator m end fraction equals fraction numerator a over denominator negative l divided by m end fraction$
$rightwards double arrow$ $fraction numerator negative n over denominator m end fraction equals fraction numerator a m over denominator negative l end fraction$ $rightwards double arrow$ n $ell$ = am²

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