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NDA2017MathematicsDifferential EquationsActual

The general solution of d y d x = a x+h b y+k represents a circle only when

Options

  1. Aa = b =0
  2. Ba =- b 0
  3. Ca = b 0, ~h = k
  4. Da=b 0

Correct answer

B. a =- b 0

Step-by-step solution

aligned & d y d x = a x+h b y+k & (b y+k) d y=(a x+h) d x aligned aligned & by ^2 2 + ky = ax ^2 2 + hx & by ^2+2 ky = ax ^2+2 hx aligned ax ^2- by ^2+2 hx -2 ky =0 This represents circle only when a=-b 0 .

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