Q. 195.0( 1 Vote )

The length of the latus - rectum of the parabola x2 – 4x – 8y + 12 = 0 is
A. 4

B. 6

C. 8

D. 10

Answer :

Given equation of the parabola is x2 - 4x - 8y + 12 = 0



x2 - 4y + 12 = 8y


x2 - 4x + 4 = 8y - 8


(x - 2)2 = 8(y - 1)


Comparing with standard form of parabola (x - a)2 = 4b(y - c) we get,


4b = 8


We know that the that the length of the latus rectum is 4b.


The correct option is C

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Lecture on Equation of Parabola59 mins
Interactive Quiz on Equation of Parabola41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses