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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?
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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.
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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?
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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?.
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