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Coordinate Geometry Practice Questions

JEE · Mathematics · 1290 free MCQs with instant results and detailed explanations.

1290
Total
293
Easy
563
Medium
434
Hard

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Topics in Coordinate Geometry

Circles 291
Parabola 234
Straight Lines 317
Hyperbola 236
Ellipse 212

Sample Questions from Coordinate Geometry

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
The line 4x + 3y = 12 is parallel to which of the following lines?
A. 12x + 9y = 36
B. 3x + 4y = 12
C. 4y - 2x = 8
D. x + 2y = 6
Show Answer & Explanation
Correct Answer: A
Two lines are parallel if their slopes are equal. The slope of the line is -4/3; the first option has the same slope.
Q2
Easy
If the coordinates of points A and B are (1, 2) and (3, 4), what is the length of AB?
A. 2√2
B. 4
C. 2
D. √8
Show Answer & Explanation
Correct Answer: A
Using the distance formula: √((3-1)² + (4-2)²) = √(4 + 4) = 2√2.
Q3
Easy
Find the slope of the line passing through the points (-1, 2) and (3, 2).
A. 0
B. 1
C. -1
D. undefined
Show Answer & Explanation
Correct Answer: A
The y-coordinates are the same, indicating a horizontal line, thus the slope is 0.
Q4
Medium
A line is parallel to y-axis and passes through the point (5, -2). What is its equation?
A. y = -2
B. x = 5
C. y = x - 5
D. x = -5
Show Answer & Explanation
Correct Answer: B
A line parallel to the y-axis has a constant x-value. Hence, the equation is x = 5.
Q5
Medium
What is the distance between the points (1, 2) and (4, 6)?
A. 3
B. 5
C. 7
D. 10
Show Answer & Explanation
Correct Answer: B
Using the distance formula √((x2 - x1)² + (y2 - y1)²), we find distance = √((4-1)² + (6-2)²) = √(9 + 16) = √25 = 5.
Q6
Medium
Determine the point of intersection of the lines 2x - 3y = 6 and x + y = 5.
A. (3, 2)
B. (4, 1)
C. (2, 3)
D. (1, 4)
Show Answer & Explanation
Correct Answer: A
Solving the system of equations, we substitute y = 5 - x into the first equation to find x = 3, y = 2.
Q7
Medium
What is the midpoint of the segment with endpoints (2, 3) and (8, 7)?
A. (4, 5)
B. (5, 4)
C. (6, 5)
D. (3, 6)
Show Answer & Explanation
Correct Answer: A
The midpoint is found using (x1 + x2)/2, (y1 + y2)/2, which gives ((2 + 8)/2, (3 + 7)/2) = (5, 5).
Q8
Hard
Find the distance between the points A(2, 3) and B(5, 7).
A. 5
B. 4
C. 3
D. 6
Show Answer & Explanation
Correct Answer: A
The distance between two points (x1, y1) and (x2, y2) is calculated using the formula √((x2 - x1)² + (y2 - y1)²). Here, it results in √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5.
Q9
Hard
What is the distance between the points A(1, 2) and B(4, 6)?
A. 5
B. 3
C. 7
D. 4
Show Answer & Explanation
Correct Answer: A
Using the distance formula d = √((x2 - x1)² + (y2 - y1)²), we find the distance is 5.
Q10
Hard
A line makes an angle of 45 degrees with the positive x-axis. What is its slope?
A. 1
B. 0
C. -1
D. undefined
Show Answer & Explanation
Correct Answer: A
The slope of a line is tan(theta). For an angle of 45 degrees, tan(45°) = 1.

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Coordinate Geometry — JEE Mathematics Practice Questions Online

This page contains 1290 practice MCQs for the chapter Coordinate Geometry in JEE Mathematics. The questions are organized by difficulty — 293 easy, 563 medium, 434 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 5 topics, giving you comprehensive coverage of the entire chapter.