Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 13

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11th Tamil Nadu Board

IMPORTANT

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The number of solutions of $x^{2} + | x - 1 | = 1$ is

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Important Questions on Basic Algebra

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 14

The equation whose roots are numerically equal but opposite in sign to the roots of

3 x^{2} - 5 x - 7 = 0

is

HARD

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 15

If

8

and

2

are the roots of

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

and

3, 3

are the roots of

x^{2} + d x + b = 0,

then the roots of the equation

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

are

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 16

If

a

and

b

are the real roots of the equation

x^{2} - k x + c = 0,

then the distance between the points

(a, 0)

and

(b, 0)

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 17

If

\frac{k x}{(x + 2) (x - 1)} = \frac{2}{x + 2} + \frac{1}{x - 1},

then the value of

k

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 18

If

\frac{1 - 2 x}{3 + 2 x - x^{2}} = \frac{A}{3 - x} + \frac{B}{x + 1},

then the value of

A + B

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 19

The number of roots of

(x + 3)^{4} + (x + 5)^{4} = 16

is

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11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 2 - Basic Algebra>Exercise>Q 20

The value of

\log_{3} 11 \cdot \log_{11} 13 \cdot \log_{13} 15 \cdot \log_{15} 27 \cdot \log_{27} 81

is