Differential Equations-Formation of Differential Equations [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 6 of 18
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Question 1
Question MCQ▾
The differential equation whose solution represents the family where are arbitrary constants, is
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 2
Question MCQ▾
The differential equation whose solution represents the family where are arbitrary constants, is
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 3
Question MCQ▾
For any differential equation , the value of is equation to
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 4
Question MCQ▾
If the differential equation of the family of curve given by , where A and B are arbitrary constants, is of the form , then the ordered pair is
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 5
Question MCQ▾
Spherical rain drops evaporates at a rate proportional to its surface area. The differential equation corresponding to the rate of change of the radius of the rain drop, if the constant of proportionality is is
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 6
Question MCQ▾
Consider the two statements
Statement I satisfy the differential equation
Statement II satisfy the differential equation
The value of k for which both the statements are correct is
Choices
Choice (4) | Response | |
---|---|---|
a. | 3 | |
b. | 0 | |
c. | 2 | |
d. |