Pre-Calculus ____________ Diagnostic Test S.Y. 2021-2022 Download for quality grades |

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Directions: Read and understand each statement carefully. Choose the letter of the correct answer. 1. It is a figure formed when the tilted plane intersects only one cone to form a bounded curve. ... a. Circle c. Ellipse b. Parabola d. Hyperbola 2. Which conic is formed when the plane (not necessarily vertical) intersects both cones to form two unbounded curves? a. Circle c. Ellipse b. Parabola d. Hyperbola 3. Given the sequence of 3, 6, 9, 12, 15,… evaluate the sum of the first six terms. a. 45 c. 84 b. 63 d. 108 4. It represents the sum of the terms of a sequence. a. Geometric Sequence c. Series b. Sequence d. Sigma 5. A circle has a diameter with endpoints (-5, 3) and (-3, 7). At what point will the center of the circle be? a. (−1, 2) c. (−4, 5) b. (4, 5) d. (1, 2) 6. Which of the following is true for the equation x 2 + y 2=64 ? a. It’s center is at (0, 0) and it’ radius is 8. b. It is a parabola. c. The equation is in general form. d. The center is at (0, 0) and the radius is 2√2 . 7. Which of the following is true for the equation x 2 + y 2=8 ? a. It’s center is at (0, 0) and it’ radius is 8. b. It is parabola. c. The equation is in general form. d. The center is at (0, 0) and the radius is 2√2 . 8. What is the general form of the equation (x−2) 2 +( y−3) 2=16 ? a. x 2 + y 2−4 x−6 y−3=0 c. x 2 + y 2−6 x+4 y−2=0 b. x 2 +3 x+ y−5=0 d. x 2 +3 x+ y−5=0 9. What is the center of the equation ( x−3) 2 + y 2=7 ? a. (0,0) c. (-3,0) b. (0,3) d. (3,0) 10. What is the radius of the equation ( x−3) 2 + y 2=7 ? a. √7 c. 14 b. 7 d. 49 10. Which of the following is true for the equation (x+7) 2 +( y+14) 2=20 ? a. It is a circle with center at (7, 14) and its radius is 2√5 . b. It is a circle with center at (-7, -14) and its radius is 2√5 . c. It is a parabola with a vertex at the origin. d. It is an equation of point. 11. A hyperbola is the only conic that has _________. [Show More]

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