Question

the length of normal chird y^2=4x which makes an angle 45 degrees with x axis is
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Answer 1

Answer:

Answer is 23.3238

Step-by-step explanation:

${y}^{2} = 4x \: \: \: \: eq.1$

${y}^{2} = 4 \: a \: x$

Comparing with the equation, we find

$a = 1$

The focus is,

ƒ( 1 , 0 )

then our imaginary line will be

y + 1 = x eq.2

putting eq.2 in eq.1

${y}{2} = 4 ( y + 1)$

after solving and replacing we get two points,

(2 + 2√2, 12 + 8√2)

and

(2 - 2√2, 12 - 8√2)

find the distance between them.

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