If a and b are two rational numbers such that a 0- then- on the number lineA- a lies to the left of 0 and b lies to the right of 0B- a lies to the right of 0 and b lies to the left of 0C- both lie to the left of 0D- both lie to the right of 0

The correct option is A a lies to the left of 0 and b lies to the right of 0 As a lt; 0 ⇒ a is negative, hence will lie on the left side of zero on the numb ...

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Standard VIII

Mathematics

Cartesian Plane and Coordinate Axes

If a and b ar...

Question

If a and b are two rational numbers such that a < 0 and b > 0, then, on the number line

a lies to the left of 0 and b lies to the right of 0

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a lies to the right of 0 and b lies to the left of 0

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both lie to the left of 0

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both lie to the right of 0

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Solution

The correct option is A
a lies to the left of 0 and b lies to the right of 0

As a < 0 ⇒ a is negative, hence will lie on the left side of zero on the number line. Similarly, b is positive, hence

will lie to the right of zero.

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Similar questions

Q. Which of the following statements are true and which are false?
(i)

\frac{- 3}{5}

lies to the left of 0 on the number line.
(ii)

\frac{- 12}{7}

lies to the right of 0 on the number line.
(iii) The rational numbers

\frac{1}{3}

and

\frac{- 5}{2}

are on opposite sides of 0 on the number line.
(iv) The rational number

\frac{- 18}{- 13}

lies to the left of 0 on the number line.

Q. Which of the following statements are true?

(i)

\frac{- 3}{5}

lies to the left of 0 on the number line.
(ii)

\frac{- 12}{7}

lies to the right of 0 on the number line.
(iii)

\frac{1}{3} and \frac{- 5}{2}

lie on opposite sides of 0 on the number line.
(iv)

\frac{- 18}{- 13}

lies to the left of 0 on the number line.
(v)

\frac{- 5}{- 8}

lies on the right of

\frac{- 5}{7}

on the number line.

Δ A B C

lies in the plane with

A = (0, 0)

B = (0, 1)

and

C = (1, 0)

. Points

M

and

N

are chosen on

A B

and

A C

, respectively, such that

M N

is parallel to

B C

and

M N

divides the area of

Δ A B C

in half. Find the coordinates of

M

Q. '

a f (k) < 0

' is the necessary and sufficient condition for a particular real number

k

to lie between the roots of a quadratic equation

f (x) = 0

, where

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

. If

f (k_{1}) f (k_{2}) < 0

, then exactly one of the roots will lie between

k_{1}

and

k_{2}

.

If

| b | > | a + c |

, then

P

lies in the exterior of

⨀ (0, 5)

such that

O P = 13

. Two tangents are drawn to the circle which touch the circle in

A

and

B

. Find

A B

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If a and b are two rational numbers such that a < 0 and b > 0, then, on the number line

The correct option is A a lies to the left of 0 and b lies to the right of 0 As a < 0 ⇒ a is negative, hence will lie on the left side of zero on the number line. Similarly, b is positive, hence will lie to the right of zero.

The correct option is A
a lies to the left of 0 and b lies to the right of 0

As a < 0 ⇒ a is negative, hence will lie on the left side of zero on the number line. Similarly, b is positive, hence

will lie to the right of zero.