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Q #11
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Directions: Read the following information to answer the question.

Ujakar and Keshav attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshav made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the original quadratic equation?

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Mistake in constant term implies that the sum ( α + β) = –a

   

is correct. Hence α + β  = 7. Secondly mistake in coefficient of x means that the product was correct. Hence αβ= 6. Only


Q #12
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Directions: Read the following information to answer the question.

x and y are real numbers satisfying the conditions 2 < x < 3 and – 8 < y < –7. Which of the following expressions will have the least value?

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Substitute possible figures in the given choices. In choice (a) x can be 2.9 and y can be – 6.9. In choice (c) this becomes 5(xy) which is less than x2y.

Q #13
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Directions: Read the following information to answer the question.

The graphs given in each question represent two functions f(x) and g(x) respectively. Mark your answer as

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As is seen from the graphs g(x) is reflected about y-axis It follows that g(x) = f(-x)

Q #15
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Directions: Read the following information to answer the question.

These questions are based on the data given below: Two Resistors R1 and R2 are said to be connected in series if they are connected as per the figure given below. and their combined resistance, R, across the points A and B is given by R = R1 + R2. They are said to be connected in parallel if they are connected as per the figure given below and their Combined resistance, R, across the points A and B is given by 1/R = 1/R1 + 1/R2. What is the resistance across the two points B and C for the following arrangement, if all the resistances shown are 4 unites each?

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