JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Analyzing +4 | -1

Let

S=\{x \in R: x \geq 0 \text { and } 2|\sqrt{x}-3|+\sqrt{x}(\sqrt{x}-6)+6=0\}.

Then,

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Correct option: B

Contains exactly two elements

Option B is correct. By considering the cases where x >= 9 and 0 <= x < 9, we find that the equation has two solutions: x = 4 and x = 16.

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\mathrm{Z}

R

\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

a d(b+c)=b c(a+d)

\mathrm{R}

W

R

R=\{(x, y) \in W \times W \mid

x

y

\}

S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

A

B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R