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

a.

b.

c.

d.

Edit

Question 2

Question MCQ▾

The differential equation whose solution represents the family where are arbitrary constants, is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Question MCQ▾

For any differential equation , the value of is equation to

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

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

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Edit

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.

Edit