Differential Equation Quiz-8

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.
Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. The solution of the differential equation is
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•
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•  log y = cx
Solution

Q2.The solution of  is
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•  None of these
Solution

Q3.  The differential equation of the family of curves , where and are
arbitrary constants, is given by
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•
Solution

Q4.
satisfies which of the following differential equations
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•  None of these
Solution

Q5.The differential equation represents
•  A parabola whose axis is parallel to -axis
•  A parabola whose axis is parallel to -axis
•  A circle
•  None of the above
Solution

It represents a parabola whose axis is parallel to y-axis.

Q6. The general solution of the differential equation is given by
•  tan y+cot x =c
•  tan y-cot x =c
•  tan x-cot y =c
•  tan x+cot y =c
Solution

Q7.A particles moves in a straight line with a velocity given by ( is the distance
described). The time taken by a particle to traverse a distance of 99 metres is
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•
•
Solution

Q8.Integral curve satisfying ,y(1)=2 has the slope at the point (1, 0) of the curve is equal
to
•  -5/3
•  -1
•  1
•  5/3
Solution

Q9.The solution of the differential equation is
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•
Solution

Q10. The differential equation of all non-horizontal lines in a plane is
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•  dx/dy =0
•  dy/dx =0
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Solution

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