Basic Education Department Senior High School PRE - CALCULUS 1 st Quarter Examination

Basic Education Department Senior High School PRE - CALCULUS 1st Quarter Examination
Name: Section: Date: Score:
I. Multiple Choice
Direction: Write the CAPITAL LETTER of the correct answer on the space provided
before each number.
 1. It is referred to as the distance from the center of the circle to any point on the
circle.
a. Chord c. Diameter
b. Tangent line d. Radius
 2. What is the standard form of the equation of the circle whose center is
at (h, k)? a. x
2+ y
2=r
2 c. ( x−h)2+( y
−k )2=r2
b. ( x+ h)
2+( y +k )
2=r
2 d. ( x−h)
2−( y−k )
2=r
2
 3. Which of the following statements is NOT true of radius?
a. x
2+ y
2=r
2 c. √( x−h)2+( y−k )2=r
D2 E2 2
2 2 2
b.
4
+ =r 4
d. ( x−h) −( y−k ) =r
For nos. 4 – 5, given the equation x
2+ y
2 −4 x−2 y−4=0
 4. What is the standard form of the equation of the circle?
a. ( x+ 2)
2+( y+ 1)
2=9 c. ( x+ 1)
2+( y+ 2)
2=9
b. ( x−2)
2+( y−1)
2=9 d. ( x−1)
2+( y−2)
2=3
2
 5. What is the coordinate of the center of the circle?
a. C :(−2 ,−1) c. C :(−1,−2)
b. C :( 2,1) d. C :( 1,2)
 6. What is the radius of the circle whose equation is 2 x
2 +2 y
2+12 x−2 y−3=0 ?
a.
43
4
b. √ 43
4
c. √ 43
2
d. 43
2
 7. What type of graph does the equation x
2+ y
2 +10 y=0 yield?
a. Circle c. Parabola
b. Point circle d. No graph
 8. What type of graph does the equation x
2+ y
2 + 4 x−6 y +18=0
yield?
a. Circle c. Parabola
b. Point circle d. No graph
For nos. 9 – 11, the endpoints of the diameter of a circle are (4, 5) and (8, -7)
 9. What is the coordinate of the center of the circle?
a. (-2, 6) c. (2, -6)
b. (6, 6) d. (6, -1)
 10. What is the radius of the circle?
a. 40 c. 4 √5
b. 2 √10 d. 20
 11. What is the equation of the circle?
a. (-2, 6) c. (2, -6)
b. (6, 6) d. (6, -1)
 12. A circle which lies on the third quadrant is tangent at both the x and y
axes. If its radius is 3, what is the center of the circle?
a. (3, 3) c. (-3, 3)
b. (3, -3) d. (-3, -3)