How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 8

EASY

CAT

IMPORTANT

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If $f (x) = (x + 2)$ and $g (x) = (4 x + 5)$ , and $h (x)$ is defined as $h (x) = f (x) \cdot g (x)$ , then sum of roots of $h (x)$ will be:

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Important Questions on Quadratic and Other Equations

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 9

If equation

x^{2} + b x + 12 = 0

gives

2

as its one of the roots and

x^{2} + b x + q = 0

gives equal roots then the value of

b

is:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 10

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 then which of the following is true?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 11

For what value of c the quadratic equation

x^{2} - (c + 6) x + 2 (2 c - 1) = 0

has sum of the roots as half of their product?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 12

Two numbers

a

and

b

are such that the quadratic equation

a x^{2} + 3 x + 2 b = 0

has

- 6

as the sum and the product of the roots. Find

a + b

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 13

If

α

and

β

are the roots of the quadratic equation

5 y^{2} - 7 y + 1 = 0

then find the value of

\frac{1}{α} + \frac{1}{β}

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 14

Find the value of the expression

(\sqrt{x + (\sqrt{x + (\sqrt{x . . . +})})})

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 15

If

a = \sqrt{(7 + 4 \sqrt{3}})

, what will be the value of

(a + \frac{1}{a})

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 16

If the roots of the equation

(a^{2} + b^{2}) x^{2} - 2 b (a + c) x + (b^{2} + c^{2}) = 0

are equal then

a, b, c

are in: