Q80 / 200 · AP EAMCET 2001 · Mathematics

The length of latusrectum of parabola $y^2+8 x-2 y+17=0$ is

A
$2$
B
$4$
Correct answer
C
$8$
D
$16$

Solution

The given equation of the parabola is $\Rightarrow \quad \begin{array}{ll} & y^3+8 x-2 y+17=0 \\ \Rightarrow \quad & (y-1)^2+8 x+16=0 \\ & (y-1)^2=-8(x+2)\end{array}$ Length of the latusrectum $=4 a=8$

Hence, the correct answer is option: 'C'.

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