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Maths-

General

Easy

Question

The curve $blank x to the power of 4 end exponent minus 2 x y to the power of 2 end exponent plus y to the power of 2 end exponent plus 3 x minus 3 y equals 0 blank$ cuts the x-axis at (0,0) at an angle

$\frac{π}{4}$
$\frac{π}{2}$
$\frac{π}{6}$
$\frac{π}{3}$

The correct answer is: $fraction numerator pi over denominator 4 end fraction$

$table row cell fraction numerator d y over denominator d x end fraction equals fraction numerator fraction numerator negative partial differential f over denominator partial differential x end fraction over denominator fraction numerator partial differential f over denominator partial differential y end fraction end fraction comma m equals t a n invisible function application theta therefore t a n invisible function application theta equals 1 comma end cell row cell rightwards double arrow theta equals pi divided by 4 end cell end table$

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