Assertion (A) Order of the differential equations of a family of circles with constant radius is two. Reason (R) An algebraic equation having two arbitrary constants is general solution of a second order differential equation.

Question

Assertion (A) Order of the differential equations of a family of circles with constant radius is two. Reason (R) An algebraic equation having two arbitrary constants is general solution of a second order differential equation., ( A ) and ( R ) are true, ( R ) is the correct explanation to ( A ), ( A ) is true, ( R ) is false, (A) and (R) are false, ( R ) is not the correct explanation to ( A ), ( A ) is false, ( R ) is true

MARKS App · Accepted Answer

Any circle with given radius can be written as, ( x − h ) 2 + ( y − k ) 2 = a 2 where ( h , k ) be the centre of the circle which is variable. So, in above algebraic equation, there are two arbitrary constant h and k . Hence, order of differential equation will be second order. Hence, assertion and reason are true and reason is the correct explanation to assertion.

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