1 point Match each equation below to the curve it represents

(1 point) Match each equation below to the curve it represents. Each answer should be A, B, C, D, E, F, or G. CURVES A. Circle, B. Ellipse, C. Point, D. Parabola, E. Empty Set, F. Intersecting lines, G. Hyperbola,

EQUATIONS 1. x^ 2 + y^ 2 2x+2y+1=0

2. 9 x ^2 +4 y^ 2 +72x16y+124=0

3. 4 x ^2 4 y^ 2 +8x+12y5=0

4. 3 x ^2 +3 y ^2 6x+12y+60=0

5. 9 x ^2 +4 y^ 2 +72x16y+160=0

6. 4 x_^ 2 3xy18=0

7. y ^2 5x4y6=0

8. x)^ 2 +xy+ y_^ 2 6=0

Solution

1) 1st equation is of circle as coefficinets of x^2 and y^2 are same

1 - A

2) 2nd equation is of ellipse as x and y both are squared and coefficinets are positive but different

2 - B

3) this equation is of intersecting lines

3 - F

4) is empty set

4-E

5) 5th is a point

5- C

6) 6th is hyperbola

6-G

7) 7th is parabola

as only y is squared

7 - D

8) 8th is ellipse

8 - B