Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 11

HARD

CAT

IMPORTANT

Earn 100

If $α, β$ are the roots of the equation $(x - a) (x - b) = c, c \neq 0,$ then the roots of the equation $(x - α) (x - β) + c = 0$ are –

67.41% studentsanswered this correctly

Important Questions on X+2 Maths

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 13

If

a,

b

are roots of

x^{2} + px + q = 0

and

g

,

d

are the roots of

x^{2} + px - r = 0,

then

(a - g) (a - d)

is equal to:

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 14

If

α, β, γ

be the roots of the equation

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

, then find the value of

α^{- 1} + β^{- 1} + γ^{- 1}

.

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 15

If the equations

2 x^{2} - 7 x + 1 = 0

and

{ax}^{2} + bx + 2 = 0

have a common root, then:

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 16

If

{(x - 1)}^{3}

is a factor of

x^{4} + a x^{3} + b x^{2} + c x - 1,

then the other factor is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 18

Find the number which exceeds its reciprocal by

\frac{35}{6}

.

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 19

If

a

and

b

are the roots of equation

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

, find the value of

(a^{3} + b^{3})

without finding the roots of the equation.

HARD

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 20

If the roots of the equation

3 {ax}^{2} + 2 bx + c = 0

are in the ratio of

2 : 3

, then:

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 3 - X+2 Maths>Practice Exercises>Q 21

In writing a quadratic equation of the form

x^{2} + bx + c = 0

, a student writes the coefficient of

x

incorrectly and finds the roots as

7

and

8

. Another student makes a mistake in writing the constant term and gets the roots as

8

and

- 3

. Find the correct quadratic equation.