If A-x- y- x2-y2-25- And B-x- y- x2-9 y2-144- then A - B contains

The correct option is D Four points A = Set of all values (x,y) : x^2 + y^2 = 25 = 5^2 B = x^2/144 + y^2/16 = 1 i.e., x^2/(12)^2 + y^2/(4)^2 = 1 Clearly ...

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Byju's Answer

Standard IX

Mathematics

Finding the Coordinates of a Point

If A=[x, y: x...

Question

If A = [(x,y): $x^{2} + y^{2} = 25$ ] And B = [(x,y): $x^{2} + 9 y^{2} = 144], t h e n A \cap B$ contains

One point

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Three points

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Two points

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Four points

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Solution

The correct option is D
Four points

A = Set of all values (x,y) : $x^{2} + y^{2} = 25 = 5^{2}$

B = $\frac{x^{2}}{144} + \frac{y^{2}}{16} = 1$ i.e., $\frac{x^{2}}{(12)^{2}} + \frac{y^{2}}{(4)^{2}} = 1$

Clearly , A $\cap$ B consists of four points.

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Similar questions

Q. If

A = {(x, y) : x^{2} + y^{2} = 25}

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B = {(x, y) : x^{2} + 9 y^{2} = 144}

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If $A = [(x, y) : x^{2} + y^{2} = 25]$ And $B = [(x, y) : x^{2} + 9 y^{2} = 144], t h e n A \cap B$ contains

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B = {(x, y) : x^{2} + 9 y^{2} = 144}

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A = {(x, y) : x^{2} + y^{2} \leq 1 x, y \in R}

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If A = [(x,y): x2+y2=25] And B = [(x,y): x2+9y2=144], then A∩B contains

The correct option is D Four points A = Set of all values (x,y) : x2+y2=25=52 B = x2144+y216=1 i.e., x2(12)2+y2(4)2=1 Clearly , A ∩ B consists of four points.

If A = [(x,y): $x^{2} + y^{2} = 25$ ] And B = [(x,y): $x^{2} + 9 y^{2} = 144], t h e n A \cap B$ contains

The correct option is D
Four points

A = Set of all values (x,y) : $x^{2} + y^{2} = 25 = 5^{2}$

B = $\frac{x^{2}}{144} + \frac{y^{2}}{16} = 1$ i.e., $\frac{x^{2}}{(12)^{2}} + \frac{y^{2}}{(4)^{2}} = 1$

Clearly , A $\cap$ B consists of four points.