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Question

Mathematics Question on Differential Equations

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: A given family of curves is said to be 'self- orthogonal' if the family of orthogonal trajectory is the same as the given family of curves.
Reason R: For finding orthogonal trajectory, replace dydxbydxdy\frac{dy}{dx}by-\frac{dx}{dy} in f(x,y,dydx)=0f(x,y,\frac{dy}{dx})=0
In the light of the above statements, choose the correct answer from the options given below:

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is NOT the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Answer

Both A and R are true but R is NOT the correct explanation of A

Explanation

Solution

The correct option is(B):Both A and R are true but R is NOT the correct explanation of A.