(i) If the roots of the equation a2+b2x2-2ac+bdx+c2+d2=0 are equal, pr – InterviewSolution

1.	(i) If the roots of the equation a2+b2x2-2ac+bdx+c2+d2=0 are equal, prove that ab=cd. [CBSE 2017](ii) If ad ≠ bc then prove that the equation a2+b2x2+2ac+bdx+c2+d2=0 has no real roots. [CBSE 2017]
Answer» (i) If the roots of the equation $(a^{2} + b^{2}) x^{2} - 2 (a c + b d) x + (c^{2} + d^{2}) = 0$ are equal, prove that $\frac{a}{b} = \frac{c}{d}$ . [CBSE 2017] (ii) If ad ≠ bc then prove that the equation $(a^{2} + b^{2}) x^{2} + 2 (a c + b d) x + (c^{2} + d^{2}) = 0$ has no real roots. [CBSE 2017]

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