Parabola

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
Question

The  length of the latus rectum of the parabola 289(x3)2+(y1)2=(15x8y+13)2  is equal to

Moderate
Solution

We can write the given equation  as

(x3)2+(y1)2=|15x8y+13|17

This represents a parabola with focus at (3, 1) and directrix as 15x-8y+ 13 =0.

L= length of latus rectum

=2[distance of focus from the directrix]

=2|15(3)8(1)+13|17=100175.88


NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

prepare smarter

with latest test series, free mock tests, and classes
NEET AITSIIT JEE AITSLive ClassFree Mocks

ctaimg

Similar Questions

The focus of the parabola 4y2+12x20y+67=0 

Want to Improve your productivity
talk to our academic experts now !!

counselling
india
+91

whats app icon