Class 10 Exam > Class 10 Notes > MCQ: Coordinate-Geometry - Class 10
MCQ: Coordinate-Geometry - Class 10 PDF Download
Let P(x, y) be equidistant from the points A (7, 1) and (3, 5).Find a relation between x and y.a)y– x = 4b)y– x = 2c)x – y = 2d)x – y = 4Correct answer is option 'C'. Can you explain this answer?
Ref: https://edurev.in/question/593883/Let-P-x-y-be-equidistant-from-the-points-A-7-1-and-3-5-Find-a-relation-between-x-and-y-a-y-x
FAQs on MCQ: Coordinate-Geometry - Class 10
| 1. What is coordinate geometry? |  |
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using the principles of algebra. It involves expressing the positions of points on a plane or in space using coordinates, which are pairs or triples of numbers.
| 2. How are coordinates represented in coordinate geometry? | |
Ans. In coordinate geometry, coordinates are represented as ordered pairs (x, y) or ordered triples (x, y, z) depending on whether we are working in a two-dimensional or three-dimensional space. The first number represents the horizontal position (x-coordinate), while the second (and third) number represents the vertical position (y-coordinate) and depth (z-coordinate) respectively.
| 3. What is the distance formula in coordinate geometry? | |
Ans. The distance formula in coordinate geometry is used to find the distance between two points on a plane or in space. It is derived from the Pythagorean theorem and is given by the formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.
| 4. How do you find the midpoint of a line segment in coordinate geometry? | |
Ans. To find the midpoint of a line segment in coordinate geometry, we average the x-coordinates and the y-coordinates of the endpoints. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
This concept can be extended to three dimensions by averaging the x, y, and z coordinates.
| 5. How is the slope of a line calculated in coordinate geometry? | |
Ans. The slope of a line in coordinate geometry is a measure of its steepness. It is calculated by taking the difference in the y-coordinates (vertical change) and dividing it by the difference in the x-coordinates (horizontal change). The formula for slope is:
Slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
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