📌 Math Conic section quetions
1. What is the general form of the equation of a circle in the coordinate plane?
a) \( y = mx + c \)
b) \( ax^2 + by^2 = c \)
c) \( (x - h)^2 + (y - k)^2 = r^2 \)
d) \( y = ax^2 + bx + c \)
2. Which conic section can be represented by the equation \( x^2/a^2 + y^2/b^2 = 1 \)?
a) Circle
b) Ellipse
c) Hyperbola
d) Parabola
3. What are the foci of an ellipse located on the x-axis with equation \( x^2/9 + y^2/4 = 1 \)?
a) (3, 0) and (-3, 0)
b) (0, 3) and (0, -3)
c) (2, 0) and (-2, 0)
d) (0, 2) and (0, -2)
4. The equation of a parabola opening to the right with a focus at (3, 0) and directrix x = -3 is:
a) \( y = x^2 + 4 \)
b) \( y = (x-3)^2 + 4 \)
c) \( x = (y-3)^2 + 4 \)
d) \( x = (y+3)^2 - 4 \)
5. What is the eccentricity of a hyperbola with vertices located at (-5, 0) and (5, 0) and foci at (-7, 0) and (7, 0)?
a) 0
b) 1
c) 2
d) 0.5
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1. What is the general form of the equation of a circle in the coordinate plane?
a) \( y = mx + c \)
b) \( ax^2 + by^2 = c \)
c) \( (x - h)^2 + (y - k)^2 = r^2 \)
d) \( y = ax^2 + bx + c \)
2. Which conic section can be represented by the equation \( x^2/a^2 + y^2/b^2 = 1 \)?
a) Circle
b) Ellipse
c) Hyperbola
d) Parabola
3. What are the foci of an ellipse located on the x-axis with equation \( x^2/9 + y^2/4 = 1 \)?
a) (3, 0) and (-3, 0)
b) (0, 3) and (0, -3)
c) (2, 0) and (-2, 0)
d) (0, 2) and (0, -2)
4. The equation of a parabola opening to the right with a focus at (3, 0) and directrix x = -3 is:
a) \( y = x^2 + 4 \)
b) \( y = (x-3)^2 + 4 \)
c) \( x = (y-3)^2 + 4 \)
d) \( x = (y+3)^2 - 4 \)
5. What is the eccentricity of a hyperbola with vertices located at (-5, 0) and (5, 0) and foci at (-7, 0) and (7, 0)?
a) 0
b) 1
c) 2
d) 0.5
Comment your answers
@Ethiomatrichub
@Ethiomatrics
@Ethioquizzes