Formation of a Differential Equation from a General Solution
Assertion :Th...
Question
Assertion :The order of the differential equation of all conics whose centre lies at (0,0) is 3. Reason: The order of differential equation.is same as the number of arbitrary unknowns (constants) in the given curve.
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution
The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion We know that equation of family of all conics whose, centre lies at (0, 0) is given by Ax2+2Hxy+By2=1 (i) Which contains three unknowns A, H, B ∴ Order of the differential equation of (i) is 3.