# Practice Coordinate Geometry Questions and Answers

### Coordinate Geometry Question and Answers

Coordinate Geometry is a branch of mathematics that deals with the relationship between algebraic equations and geometric shapes on a coordinate plane. It involves plotting points on an x-y axis and using algebraic equations to determine properties of the shapes formed by those points. The basic concepts of coordinate geometry include distance formula, slope formula, and equation of a line. It also involves the study of conic sections, which are shapes that result from intersecting a cone with a plane.

Coordinate Geometry is an important topic for competitive exam students as it tests their ability to understand and apply mathematical concepts in real-world scenarios. Questions on Coordinate Geometry can appear in various competitive exams such as JEE, CAT, GRE, and SAT. These exams require students to solve problems related to finding the distance between two points, slope of a line, equation of a line, intersection of lines, and many other applications of Coordinate Geometry. Understanding the principles of Coordinate Geometry question and answer is also essential for students pursuing careers in fields such as engineering, architecture, and physics.

### Example of coordinate geometry MCQ Question & Answer

Example of coordinate geometry MCQ Question & Answer

Suppose there are two points A (3, 4) and B (-2, 5) on a coordinate plane. Find the distance between A and B.

To solve this problem, we use the distance formula, which is:

distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Here, x1 = 3, y1 = 4, x2 = -2, and y2 = 5. Substituting these values in the formula, we get:

distance = sqrt[(-2 - 3)^2 + (5 - 4)^2]

distance = sqrt[(-5)^2 + (1)^2]

distance = sqrt[25 + 1]

distance = sqrt[26]

Therefore, the distance between A and B is sqrt[26] units.

### 5 tips to ace good score in Coordinate geometry MCQ Questions

• Understand the basics: Coordinate Geometry MCQs builds upon basic algebraic concepts such as plotting points, finding slope and distance, and working with equations of lines. Make sure to review and understand these fundamentals before tackling more complex problems.
• Visualize the shapes: Coordinate Geometry involves plotting points on a graph and visualizing the resulting shapes. Practice drawing and visualizing geometric figures to get a better understanding of how the shapes are formed.
• Practice with real-world examples: Coordinate Geometry is an important topic in fields such as engineering, physics, and computer science. Practice solving problems related to these fields to get a better grasp of how Coordinate Geometry MCQ is applied in real-life scenarios.
• Use shortcut techniques: Learn shortcut techniques to solve problems quickly and efficiently. For example, using the slope formula to find the equation of a line can save time and effort compared to using the point-slope formula.
• Practice: Practice is essential to excel in Coordinate Geometry MCQ. Solve a variety of problems, including those with varying levels of difficulty, to build your skills and confidence in the subject.

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