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Geometry and Trigonometry

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Geometry and Trigonometry

Set - 2

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CE

Chief Editor

Mar 27, 2024

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$$x^{2}+20x+y^{2}+16y=-20$<br/><br/>The equation above defines a circle in the $xy$-plane. What are the coordinates of the center of the circle?$
$A rectangle has an area of 63 square meters and a length of 9 meters. What is the width, in meters, of the rectangle?$
$What is the diameter of the circle in the $xy$-plane with equation $\left(x-5\right)^{2}+\left(y-3\right)^{2}=16$?$

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Take all 3 MCQs in interactive quiz mode with timer and progress tracking

$x^{2}+20x+y^{2}+16y=-20$The equation above defines a circle in the $xy$-plane. What are the coordinates of the center of the circle?

Difficulty: Hard

A:

$(-20,-16)$

B:

$(-10,-8)$

C:

$(10,8)$

D:

$(20,16)$

View Solution Steps

A rectangle has an area of 63 square meters and a length of 9 meters. What is the width, in meters, of the rectangle?

Difficulty: Easy

A:

7

B:

54

C:

What is the diameter of the circle in the $xy$-plane with equation $\left(x-5\right)^{2}+\left(y-3\right)^{2}=16$?

D:

567

View Solution Steps

What is the diameter of the circle in the $xy$-plane with equation $\left(x-5\right)^{2}+\left(y-3\right)^{2}=16$?

Difficulty: Hard

A:

$(-20,-16)$

B:

$(-10,-8)$

C:

$(10,8)$

D:

$(20,16)$

View Solution Steps

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