How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 35

EASY

CAT

IMPORTANT

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If $m$ , $n$ are the roots of $p x^{2} + q x + r = 0$ and $m + k$ , $n + k$ are the roots of the equation $a x^{2} + b x + c = 0$ then $k =$ ?

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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 36

If $m$ , $n$ are the roots of $p x^{2} + q x + r = 0$ and $k m$ , $k n$ are the roots of the equation $a x^{2} + b x + c = 0$ , then $k =$ ?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 37

For how many real values of

x

, is

x^{2} = |x|

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 38

For how many different values of

p

, does the equation

16 x^{2} + p x + 9 = 0

have equal roots.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 39

If

m

,

n

are the roots of the equation

x^{2} - 6 x + 3 = 0

then the equation whose roots are

m^{2}

,

n^{2}

could be:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 40

If

m

,

n

are the roots of the equation

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

and

m

,

n

,

a

,

b

all are real numbers then which of the following option can never be value for

(a, b)

:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 41

If

a

and

b

are the roots of the equation

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

then:

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 42

Find the numbers of real roots of the equation

x^{2} + 3 |x| + 2 = 0

.

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 22 - Quadratic and Other Equations>Level of Difficulty>Q 43

Find the number of real roots of the equation

x^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 0

.