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Let R = {(P,Q) mid P and Q are at the same distance fro... | Relation (Mathematics) | DivineJEE

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Mathematics

Exam ( $26\ ^{th\ }$ Feb $1^{st\ }$ Shift 2021)

Mathematics

Let

R = \{(P,Q) \mid P

and

Q

are at the same distance from the origin

\}

be a relation, then the equivalence class of

(1, - 1)

is the set

A

S = \left\{ (x,y) \mid x^{2} + y^{2} = 1 \right\}

B

S = \left\{ (x,y) \mid x^{2} + y^{2} = 2 \right\}

C

S = \left\{ (x,y) \mid x^{2} + y^{2} = 4 \right\}

D

S = \left\{ (x,y) \mid x^{2} + y^{2} = \right\}

Correct Answer:

B

Explanation

Equivalence class of (1,-1) { is a circle with centre at }(0,0) { and radius } $\\=\sqrt{ } 2\\$

$\Rightarrow x^2+y^2=2\\$

$S=\left\{(x, y) \mid x^2+y^2=2\right\}$

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