1. What is the area of the region bounded by the ellipse with the equation x^2+9y^2+3x - 18y + 9 = 0 A. 9/16 π sq. units B. 3/4 π sq. units C. 3/4 π sq. units D. 3 π sq. units 2.The length of the latus rectum for the ellipse with the given equation is x^2+ 4y^2 = 64 A. 2 UNITS B. 4 UNITS C. 16 UNITS D. 32 UNITS 3. Which of the following is true about the curve y^2 = 4x^2/1+x^2? A. The curve is symmetric with respect to the x-axis, y-axis and the origin. B. The curve is symmetric with respect to the x and y axes only. C. The curve is symmetric with respect to the y-axis only. D. The curve is symmetric with respect to the x-axis only.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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1. What is the area of the region bounded by the ellipse with the equation x^2+9y^2+3x - 18y + 9 = 0 

A. 9/16 π sq. units

B. 3/4 π sq. units

C. 3/4 π sq. units

D. 3 π sq. units

 

2.The length of the latus rectum for the ellipse with the given equation is x^2+ 4y^2 = 64

A. 2 UNITS

B. 4 UNITS

C. 16 UNITS

D. 32 UNITS

 

3. Which of the following is true about the curve y^2 = 4x^2/1+x^2?

A. The curve is symmetric with respect to the x-axis, y-axis and the origin.

B. The curve is symmetric with respect to the x and y axes only.

C. The curve is symmetric with respect to the y-axis only.
D. The curve is symmetric with respect to the x-axis only.
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