Mathematics · 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 its orthogonal trajectories is identical to the given family of curves. Reason R: To find the orthogonal trajectory of a differential equation of the form f(x, y, dydx) = 0, replace dydx by -dxdy. In the light of the above statements, choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A is false but R is true
- 2A is true but R is false
- 3Both A and R are true but R is NOT the correct explanation of A✓
- 4Both A and R are true and R is the correct explanation of A
Correct answer
Both A and R are true but R is NOT the correct explanation of A
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