Question

Write the correct answer of the following

no fake answers plz

Answer 1

Answer:

Option (b)

Step-by-step explanation:

Given,

(1+m)²x² + 2mcx + c²-a² = 0

Ax² + Bx + C = 0

Compare the equations: A = (1+m)²; B = 2mc; C = c²-a²

Since the equation as equal roots, the determinant = 0

B² - 4AC = 0

(2mc)² - 4(1+m²)(c²-a²) = 0

4m²c² - 4c² + 4a² - 4m²c² + 4m²a² = 0

4c² = 4a² + 4m²a²

4c² = 4a²(m²+1)

c² = a²(m²+1)

so option (b)