For a quadratic equation, ax2 + bx + c = 0, D = b2 – 4ac If D = 0, roots are equal ⇒ D = 4m2c2 – 4(c2 – a2)(1 + m2) = 0 ⇒ m2c2 – c2 + a2 – c2m2 + a2m2 = 0 ⇒ c2 = a2(1 + m2)

Q. 41

If the equation <

Class 10th

Answer :

For a quadratic equation, ax² + bx + c = 0,

D = b² – 4ac

If D = 0, roots are equal

⇒ D = 4m²c² – 4(c² – a²)(1 + m²) = 0

⇒ m²c² – c² + a² – c²m² + a²m² = 0

⇒ c² = a²(1 + m²)

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