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Byju's Answer

Standard XII

Mathematics

General Solution of Trigonometric Equation

Given below a...

Question

Given below are some symbols indicating some relations against them. Read these symbols carefully and answer the question.
$△$ = greater than; $+$ = not greater than; $θ$ = equal to; $ϕ$ = not equal to; $\times$ = less than, $□$ = not less than
Then $a Δ b Δ c$ does not imply which of the following options?

b + a Δ c

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b Δ a θ c

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c + b ϕ a

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c + b \times a

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Solution

The correct option is D $b Δ a θ c$
Given:
$a Δ b Δ c$ means
$a > b > c$
Substituting as given in options
From option A
$b ≯ a > c$ True
From option B
$b > a = c$ False because $a > c$
From option C
$c ≯ b \neq a$ True
From option D
$c ≯ b < a$ True

Hence $a Δ b Δ c$ does not imply $b Δ a θ c$

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Similar questions

Given below are some symbols indicating some relations against them. Read these symbols carefully and then answer the question given below.

△

= greater than;

+

= not greater than;

θ

= equal to;

ϕ

= not equal to;

\times

= less than,

□

= not less than

Then

a \times b θ c

implies which of the following options?

Given below are some symbols indicating some relations against them. Read these symbols carefully and then answer the question given below.

△

= greater than;

+

= not greater than

θ

= equal to;

ϕ

= not equal to

\times

= less than,

□

= not less than

a \times b θ c

does not mean

Given below are some symbols indicating some relations against them. Read these symbols carefully and then answer the question given below.

△

= greater than;

+

= not greater than

θ

= equal to;

ϕ

= not equal to

\times

= less than,

□

= not less than

c + b \times a

means

Given below are some symbols indicating some relations against them. Read these symbols carefully and then answer the question given below.

△

= greater than;

+

= not greater than

θ

= equal to;

ϕ

= not equal to

\times

= less than,

□

= not less than

a ϕ b Δ c

implies that

Some symbols are given below. These symbols denote some relationships between number

△ = greater than; θ = equal to; □ = not less than; × = less than; + = not greater than; ϕ = not equal to

Then c + b × a means ?

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Given below are some symbols indicating some relations against them. Read these symbols carefully and answer the question.△ = greater than; + = not greater than; θ = equal to; ϕ = not equal to; × = less than, □ = not less thanThen a Δ b Δ c does not imply which of the following options?

The correct option is D b Δ a θ cGiven:a Δ b Δ c means a>b>cSubstituting as given in optionsFrom option Ab≯a>c TrueFrom option Bb>a=c False because a>cFrom option Cc≯b≠a TrueFrom option Dc≯b<a TrueHence a Δ b Δ c does not imply b Δ a θ c