Quantitative Aptitude Algebra Quadratic Equation

If the equation (1 + t²)x² +2tcx + (c² − a²) = 0 has equal roots then which of the following is true?

1

t²= c²(1 + a²)

2

a² = c² (1 + t²)

3

t² = a²(1 + c²)

4

c² = a² (1 + t²)

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