Let R = (x, y) : x, y ∈ R. x 2 + y 2 R^ = (x, y): x, y R, y 4 9 x^ 2 then is
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let R = {(x, y) : x, y ∈ R. x2 + y2 < 25} and
\(R^{\prime}=\left\{(x, y): x, y \in R, y \geq \frac{4}{9} x^{2}\right\}\) then is
\(R^{\prime}=\left\{(x, y): x, y \in R, y \geq \frac{4}{9} x^{2}\right\}\) then is
- dom R ∩ R′ = [–3, 3]
- Range R ∩ R′ ⊃ [0, 4]
- Range R ∩ R′ = [0, 5]
- R ∩ R′ defines a function
Answer
(A) dom R ∩ R ′ = [–3, 3], (B) Range R ∩ R ′ ⊃ [0, 4], (C) Range R ∩ R ′ = [0, 5]
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