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If 2 is a root of the equation x2 + ax + 12 = 0 and the quadratic equation x2 + ax + q = 0 has equal roots, then qA. 12B. 8C. 20D. 16 |
Answer» The given equation x2 + ax + 12 = 0 has a root = 2 So it will satisfy the equation 4 + 2a + 12 = 0 2a + 16 = 0 a = – 8 Putting value of a in second equation, it becomes x2 + ax + q = 0 x2 – 8x + q = 0 Roots are equal so d = 0 ⇒ b2 – 4ac = 0 ⇒ 64 – 4q = 0 ⇒ q = 64/4 ⇒ q = 16 |
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