wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The length of the latus-rectum of the parabola y2 + 8x − 2y + 17 = 0 is
(a) 2
(b) 4
(c) 8
(d) 16

Open in App
Solution

(c) 8

Given:
y2 + 8x − 2y + 17 = 0
y-12-1+8x+17=0y-12+8x+16=0y-12=-8x+2

Let X=x+2, Y=y-1

Y2=-8X

Comparing with y2=4ax:
a = 2

Length of the latus rectum = 4a = 8 units

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 6
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon