The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Class 12 Exam > Class 12 Questions > The area of the triangle formed by the lines ...

Join the Discussion on the App

The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is?

Join for Free

Join for Free

Verified Answer

The area of the triangle formed by the lines joining the vertex of the...

X^2 = 12y

we know general equation is x^2= 4ay then vertex is ( 0, 0) and latus reactum is y = a

compare , x^2 = 12y = 4(3)y

and x^2 = 4ay

then,

a = 3

so, eqn of Latus rectum ; y = 3

put y = 3 in eqn of parabola , x^2 = 12y

x^2 = 36

x = +- 6

hence, ( 6, 3) and ( -6 ,3) are the points lies on line and latus rectum .

now , a/ c to question ,

area of ∆ is formed by ( 0, 0) , ( 6, 3) and ( - 6, 3)

use co- ordinate formula for finding area of ∆ .

area of ∆ = 1/2{ 0( 3 - 3) + 6( 3 - 0) - 6( 0-3) }

= 1/2{ 0 + 18 + 18 }

= 18 square unit

hence, area of ∆ = 18 square unit .

This question is part of UPSC exam. View all Class 12 courses

View all answers Start learning for free

Explore Courses for Class 12 exam

The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is?

Share with a Friend

Answer this doubt

Question Description
The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is?.

Solutions for The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.

Here you can find the meaning of The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? defined & explained in the simplest way possible. Besides giving the explanation of The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is?, a detailed solution for The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? has been provided alongside types of The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? theory, EduRev gives you an ample number of questions to practice The area of the triangle formed by the lines joining the vertex of the parabola x squared equal to 12 to the ends of its latest rectum is? tests, examples and also practice Class 12 tests.

Explore Courses for Class 12 exam