NSTSE Practice Questions - National Level Science Talent Search Examination (NSTSE) Exam

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If the quadratic equation $(1 + m^2)x^2 + 2mcx + (c^2 - a^2) = 0$ has real and equal roots, which of the following is the correct relationship between $a$, $c$, and $m$?

c^2 = a^2(1 + m^2) a^2 = c^2(1 + m^2) c^2 = a^2(1 - m^2) c^2 = a^2 + m^2

Correct Answer:

c^2 = a^2(1 + m^2)

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