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Maths-

General

Easy

Question

If a, b, c be the sides of DABC and equations ax² + bx + c = 0 and 5x² + 12x + 13 = 0 have a common root, then ÐC is

60°
90°
120°
45°

The correct answer is: 90°

Since 5x² + 12x + 13 = 0 has imaginary roots as D = 144 – 4 ´ 5 ´ 13 < 0
So, both roots of ax² + bx + c = 0 and 5x² + 12x + 13 = 0 will be common
\ $fraction numerator a over denominator 5 end fraction equals fraction numerator b over denominator 12 end fraction equals fraction numerator c over denominator 13 end fraction$ Þ a² + b² = c² Þ ÐC = 90°

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