GRE Plane and Coordinate Geometry 2 — Questions and Answers
Question 1: What is the distance between the points (1, 2) and (4, 6)?
- 5 (Correct answer)
- 7
- 25
- √7
Correct answer: 5
Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.
Question 2: What is the midpoint of the segment joining (−2, 3) and (6, −1)?
- (2, 1) (Correct answer)
- (4, 2)
- (2, 2)
- (1, 2)
Correct answer: (2, 1)
Midpoint = ((−2+6)/2, (3+(−1))/2) = (2, 1).
Question 3: What is the slope of the line through (0, −3) and (2, 5)?
- 4 (Correct answer)
- 2
- −4
- 1/4
Correct answer: 4
Slope = (5−(−3))/(2−0) = 8/2 = 4.
Question 4: A line has equation y = −2x + 7. What is its y-intercept?
- 7 (Correct answer)
- −2
- −7
- 2
Correct answer: 7
In y = mx + b, b = 7 is the y-intercept.
Question 5: Two lines are perpendicular. One has slope 3. What is the slope of the other?
- −1/3 (Correct answer)
- 1/3
- −3
- 3
Correct answer: −1/3
Perpendicular slopes are negative reciprocals, so −1/3.
Question 6: What is the area of a circle with radius 5?
- 25π (Correct answer)
- 10π
- 5π
- 50π
Correct answer: 25π
Area = πr² = π(5)² = 25π.
Question 7: A triangle has a base of 8 and a height of 5. What is its area?
- 20 (Correct answer)
- 40
- 13
- 26
Correct answer: 20
Area = ½ × base × height = ½ × 8 × 5 = 20.
GRE Plane and Coordinate Geometry 2
What is the distance between the points (1, 2) and (4, 6)?