JEE Exam  >  JEE Questions  >  A family of curves is such that the length in... Start Learning for Free
A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves is
  • a)
    xy = c, c is a constant
  • b)
    xy2 = c, c is a constant
  • c)
    x2y = c, c is a constant
  • d)
    x2y2 = c, c is a constant
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A family of curves is such that the length intercepted on the y-axis b...
Free Test
Community Answer
A family of curves is such that the length intercepted on the y-axis b...
Family of Curves Explanation:
Family of curves where the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact can be represented by the equation x^2y = c, where c is a constant.

Explanation:
- The general form of the equation for the family of curves can be written as x^2y = c.
- For any point (a, b) on the curve, the tangent at that point intercepts a length of 3b on the y-axis between the origin and the point of contact.
- This condition can be satisfied by the equation x^2y = c, where c is a constant.
- This equation ensures that the length intercepted on the y-axis is three times the ordinate of the point of contact.
Therefore, the correct option is C) x^2y = c, c is a constant.
Explore Courses for JEE exam
A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer?
Question Description
A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. 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 A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves isa)xy = c, c is a constantb)xy2 = c, c is a constantc)x2y = c, c is a constantd)x2y2 = c, c is a constantCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev