If the path of a moving point is the curve [x=at] [y=bsin at] then its acceleration at any instant [SCRA 1996]

Varies as the distance from the axis of y

Varies as the distance from the axis of x

Varies as the distance of the point from the origin

If [sqrt(1-x^6)+sqrt(1-y^6)=a^3(x^3-y^3)] then [fracdydx=] [Roorkee 1994]

\[\frac{{{x}^{2}}}{{{y}^{2}}}\sqrt{\frac{1-{{y}^{6}}}{1-{{x}^{6}}}}\]

\[\frac{27\pi }{8}{{(2x+3)}^{2}}\]

\[\left( \frac{1}{2},\,\frac{5}{24} \right)\] and \[\left( -1,\,-\frac{1}{6} \right)\]

[left( frac12frac49 right)] and [left( -10 right)]

[left( frac13frac17 right)] and [left( -3frac12 right)]

[left( frac13frac447 right)] and [left( -1-frac13 right)]

Embark on a journey of knowledge! Take the quiz and earn valuable credits.

Take A Quiz

Challenge yourself and boost your learning! Start the quiz now to earn credits.

Take A Quiz

Unlock your potential! Begin the quiz, answer questions, and accumulate credits along the way.

Take A Quiz

Learn Mathematics in Joint Entrance Exam - Main (JEE Main) MCQ questions and answers (MCQs) with explanation to score better in any Job Interviews, Campus Recruitments , Competition Exams and Entrance Tests.

OPEN APP