Mathematics Exam > Mathematics Questions > The orthogonal trejections of the family of p...
Start Learning for Free
The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the family
- a)of circles
- b)of ellipse
- c)itself
- d)of hyper-bola’s
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The orthogonal trejections of the family of parabola’s y2 = 4ax ...
we have y2 = 4ax + 4a2 ...(1)
⇒
put it in (1), we have
put it in (1), we have
⇒ y = 2 xy’ + y(y')2 ...(2) ; DE o f given family
now replace 
in (2) , to get the DE. of orthogonal trajectories,
in (2) , to get the DE. of orthogonal trajectories,
which is the same as the differential equation (2) of the given system (1). Hence the system of parabolas (1) is self orthogonal i.e. each member of the given family of parabola's intersects its own member orthogonally.Most Upvoted Answer
The orthogonal trejections of the family of parabola’s y2 = 4ax ...
we have y2 = 4ax + 4a2 ...(1)
⇒
put it in (1), we have
put it in (1), we have
⇒ y = 2 xy’ + y(y')2 ...(2) ; DE o f given family
now replace 
in (2) , to get the DE. of orthogonal trajectories,
in (2) , to get the DE. of orthogonal trajectories,
which is the same as the differential equation (2) of the given system (1). Hence the system of parabolas (1) is self orthogonal i.e. each member of the given family of parabola's intersects its own member orthogonally.
|
Explore Courses for Mathematics exam
|
|
The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer?
Question Description
The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer?.
The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The orthogonal trejections of the family of parabola’s y2 = 4ax + 4a2 is the familya)of circlesb)of ellipsec)itselfd)of hyper-bola’sCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.
|
|
Explore Courses for Mathematics 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup