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Maths-

General

Easy

Question

The angle between the tangents drawn at the end points of the latus rectum of parabola $y to the power of 2 end exponent equals 4 a x text is end text$

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

The correct answer is: $pi over 2$

The end points are $left parenthesis a comma plus-or-minus 2 a right parenthesis$ Therefore, the tangents are
$plus-or-minus 2 a y equals 2 a left parenthesis x plus a right parenthesis text or end text m equals plus-or-minus fraction numerator 2 a over denominator 2 a end fraction equals plus-or-minus 1$
$text Hence, the angle between them is end text pi over 2 text. end text$

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