Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
243 views
in Parabola by (113k points)
closed by
Find the length of the latus rectum of the parabola y2 = 16x
1. 16
2. 4
3. 8
4. 12

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 1 : 16

Concept:

Parabola:

The length of latus rectum of the parabola y2 = 4ax is given by: 4a

Calculation:

Given: y2 = 16x

The given equation can be written as, y2 = 4 ⋅ 4 ⋅ x

By comparing the above equation with the standard equation of the parabola, y2 = 4ax we get

⇒ a = 4

As we know that, length of latus rectum of the parabola y2 = 4ax is given by: 4a

⇒ 4a = 16

Hence, the correct option is 1.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...