Which of the following is a linear expression -a x2- y-x y-1b x-y-1c x3- y-x y-1d 4 x2-1A- 4 x2-1B- x2- y-x y-1C- x-y-1D- x3- y-x y-1

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Variable and Constants

Which of the ...

Question

Which of the following is a linear expression ?

a) $x^{2} \times y + x y + 1$

b) $x + y + 1$

c) $x^{3} \times y + x y + 1$

d) $4 x^{2} + 1$

$x + y + 1$

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$x^{3} \times y + x y + 1$

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$4 x^{2} + 1$

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$x^{2} \times y + x y + 1$

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Solution

The correct option is A
$x + y + 1$

Linear expression is an algebraic expression in which the highest power of the variable is 1.

Therefore $x + y + 1$ is a linear expression.

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Similar questions

Which of the following is a linear expression ?

a) $x^{2} \times y + x y + 1$

b) $2 x + 3 y + 1$

c) $x^{3} \times y + x y + 1$

d) $345 x^{2}$

Which of the following is a linear expression ?

a) $x^{2} \times y + x y + 1$

b) $2 x + 3 y + 1$

c) $x^{3} \times y + x y + 1$

d) $345 x$

$x = 1 + a + a^{2} + . . . \infty (a < 1)$
$y = 1 + b + b^{2} + . . . \infty (b < 1)$
Then the value of $1 + a b + a^{2} b^{2} + . . . . . \infty$ is
[MNR 1980; MP PET 1985]

Q. Which one of the following is correct about the given graph of f(x) :

Q. If

x = 1 + a + a^{2} + . . . . \infty

and

y = 1 + b + b^{2} + . . . . \infty,

then the value of

1 + a b + + a^{2} b^{2} + . . . . \infty

(0 < a < 1, 0 < b < 1)

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Which of the following is a linear expression ? a) x2×y+xy+1 b) x+y+1 c) x3×y+xy+1 d) 4x2+1

The correct option is A x+y+1 Linear expression is an algebraic expression in which the highest power of the variable is 1. Therefore x+y+1 is a linear expression.

Which of the following is a linear expression ?

a) $x^{2} \times y + x y + 1$

b) $x + y + 1$

c) $x^{3} \times y + x y + 1$

d) $4 x^{2} + 1$

The correct option is A
$x + y + 1$

Linear expression is an algebraic expression in which the highest power of the variable is 1.

Therefore $x + y + 1$ is a linear expression.