How to Score High in JEE Main 2025-26 Co-ordinate Geometry Mock Tests
Co-ordinate Geometry is a high-weightage chapter in JEE Mathematics, covering essential concepts like distance formula, section formula, equation of lines, circles, and conic sections. Mastery of this chapter is critical for scoring well in the JEE Main exam. Attempt this mock test to strengthen your problem-solving abilities and boost your confidence for the actual exam!
Mock Test Instructions for the Co-ordinate Geometry Mock Test-3:
- 20 questions from Co-ordinate Geometry Mock Test-3
- Time limit: 20 minutes
- Single correct answer per question
- Correct answers appear in bold green after submission
How Can JEE Mock Tests Help You Master Co-ordinate Geometry?
- Identify weak areas in topics like lines, circles, parabolas, ellipses, and hyperbolas using targeted questions.
- Boost your speed tackling JEE-level problems involving distance, area, and locus concepts.
- Reinforce understanding of coordinate transformation and equation manipulation with exam-style practice.
- Learn to avoid common errors related to calculation and sign errors in coordinate-based problems.
- Use instant feedback after the test to fine-tune your revision strategy for maximum score boost.
Score Better in JEE Main Mathematics with Expert-Designed Co-ordinate Geometry Mock Tests
- Practice previous year patterns and mixed-difficulty MCQs for complete chapter coverage.
- Sharpen logical reasoning in identifying the properties of conic sections and straight lines.
- Master problem solving under exam pressure with timer-based mock simulations.
- Enhance retention of formulas and theorem applications through repetition and review.
- Pinpoint conceptual gaps in circles, parabolas, and hyperbolas for targeted practice.
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| 1 | Online FREE Mock Test for JEE Main Chemistry |
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FAQs on Co-ordinate Geometry Mock Test for JEE Main 2025-26 Preparation
1. What is co-ordinate geometry?
Co-ordinate Geometry, also known as Cartesian Geometry, is a branch of mathematics that uses algebraic equations to determine the positions of points, lines, and shapes on a plane using ordered pairs called coordinates (x, y). It helps represent geometric concepts in algebraic form.
2. How do you find the distance between two points in a coordinate plane?
The distance formula is used to find the length between two points (x1, y1) and (x2, y2) in a coordinate plane. The formula is:
Distance = √[(x2 – x1)2 + (y2 – y1)2]
3. What is the section formula in coordinate geometry?
The section formula finds the coordinates of a point dividing a line segment between two points (x1, y1) and (x2, y2) in the ratio m:n. The formula is:
x = (mx2 + nx1)/(m + n), y = (my2 + ny1)/(m + n)
4. How can you determine if three points are collinear?
Three points are collinear if the area of the triangle formed by them is zero. Using their coordinates (x1, y1), (x2, y2), (x3, y3):
- Calculate area = 0.5 | x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2) |
If area = 0, the points are collinear.
5. What is the formula for the midpoint of a line segment?
The midpoint formula finds the point that is exactly halfway between two points (x1, y1) and (x2, y2) in a coordinate plane. The formula is:
Midpoint = [ (x1 + x2)/2 , (y1 + y2)/2 ]
6. How do you find the area of a triangle given its vertices' coordinates?
To find the area of a triangle formed by points (x1, y1), (x2, y2), and (x3, y3), use:
Area = (1/2) | x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2) |
7. What is the equation of a straight line in a coordinate plane?
The general equation of a straight line is y = mx + c, where m is the slope (gradient) and c is the y-intercept. Other popular forms include:
- Point-slope: y – y1 = m(x – x1)
- Intercept form: x/a + y/b = 1
8. How is the slope or gradient of a line calculated between two points?
The slope (m) of a line joining points (x1, y1) and (x2, y2) is:
m = (y2 – y1)/(x2 – x1)
9. What are the axes and quadrants in coordinate geometry?
A coordinate plane is divided by the x-axis (horizontal) and y-axis (vertical) into four parts called quadrants (I, II, III, IV). Each quadrant has a different sign for x and y coordinates:
• Quadrant I: (+, +)
• Quadrant II: (–, +)
• Quadrant III: (–, –)
• Quadrant IV: (+, –)
10. What is a locus in coordinate geometry?
A locus in coordinate geometry is a set of all points that satisfy a particular condition or equation. For example, the locus of all points at a fixed distance from a point forms a circle.
11. How are the coordinates of the centroid of a triangle calculated?
The centroid of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is:
Centroid = [ (x1 + x2 + x3)/3 , (y1 + y2 + y3)/3 ]
12. How do coordinate geometry mock tests help in exam preparation?
Taking coordinate geometry mock tests helps students strengthen concepts, improve problem-solving speed, and identify common errors. It familiarizes them with exam patterns and provides practice on expected syllabus questions for school and entrance exams.
