Question
Another equation (III) x² - 8x + 15 = 0 is given. Which
of the following is/are correct about it? 1. Roots of equation (III) are less than that of equation (II). 2. Equation (III) has one root equal to the value of 'm'. 3. Equation (III) has roots greater than (q - p). A set of 2 equations is given below. Read the information carefully and answer the question based on it Equation (I): x² - px + q = 0 has roots 'm' and 5. Equation (II): x² - (p - 2)x + (q - 6) = 0 has roots 'm' and 3.Solution
Equation (III): x² - 8x + 15 = 0 can be factored as (x - 3)(x - 5) = 0 Roots of Equation (III) are 3 and 5. From Equation (II), m = 3. q - p = 15 – 8 = 7 Answer: (c) Only 2
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