JEE Exam > JEE Questions > Which one of the following equations represen...
Start Learning for Free
Which one of the following equations represents parametrically, parabolic profile ?
- a)x = 3 cost ; y = 4 sint
- b)x2 – 2 = – cost ; y = 4 cos2
- c)
= tan t ; 
= sec t - d)x =
; y = sin
+ cos
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Which one of the following equations represents parametrically, parabo...
x2 − 2 = −2cost
⇒ x2 = 2 − 2cost
⇒x2 = 2(1−cost)
⇒x2 = 2(1−(1−2sin2 t/2))
⇒x2 = 4sin2 t/2
We have y = 4cos2 t/2
⇒cos2 t/2= y/4
We know the identity, sin2 t/2 + cos2 t/2 = 1
⇒ x2/4 + y/4 = 1
⇒ x2 = 4−y represents a parabolic profile.
⇒ x2 = 2 − 2cost
⇒x2 = 2(1−cost)
⇒x2 = 2(1−(1−2sin2 t/2))
⇒x2 = 4sin2 t/2
We have y = 4cos2 t/2
⇒cos2 t/2= y/4
We know the identity, sin2 t/2 + cos2 t/2 = 1
⇒ x2/4 + y/4 = 1
⇒ x2 = 4−y represents a parabolic profile.
Most Upvoted Answer
Which one of the following equations represents parametrically, parabo...
In a parabola, only one term is of second degree. So, equation B represents a parabola
Community Answer
Which one of the following equations represents parametrically, parabo...
x2 − 2 = −2cost
⇒ x2 = 2 − 2cost
⇒x2 = 2(1−cost)
⇒x2 = 2(1−(1−2sin2 t/2))
⇒x2 = 4sin2 t/2
We have y = 4cos2 t/2
⇒cos2 t/2= y/4
We know the identity, sin2 t/2 + cos2 t/2 = 1
⇒ x2/4 + y/4 = 1
⇒ x2 = 4−y represents a parabolic profile.
⇒ x2 = 2 − 2cost
⇒x2 = 2(1−cost)
⇒x2 = 2(1−(1−2sin2 t/2))
⇒x2 = 4sin2 t/2
We have y = 4cos2 t/2
⇒cos2 t/2= y/4
We know the identity, sin2 t/2 + cos2 t/2 = 1
⇒ x2/4 + y/4 = 1
⇒ x2 = 4−y represents a parabolic profile.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer?
Question Description
Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer?.
Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which one of the following equations represents parametrically, parabolic profile ?a)x = 3 cost ; y = 4 sintb)x2–2 = –cost ; y = 4 cos2c)= tan t ;= sec td)x =; y = sin+ cosCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup