This page deals with different types of Coordinate geometry Questions and Answers which can be asked in placement exams or any other competitive exams which has included Coordinate Geometry in its Syllabus.

Definition of Co-Ordinate Geometry:

Coordinate geometry is a discipline of mathematics that aids in the presentation of geometric forms on a two-dimensional plane and the learning of their characteristics. To get a rudimentary grasp of Coordinate geometry, we will learn about the coordinate plane and the coordinates of a point.

Below the example questions you can further solve Sample Coordinate geometry Questions and Answers.

When the x and y axis intersect at a point then it is called origin. Both x and y tend to be 0.

The values are positive on the right hand side of the x-axis and the values are negative on the left hand side of x axis.

The value on the upper side of the y axis tend to be positive and the value below tend to be negative.

By a set of two numbers a point on the plane can be located. First value will be of x axis and second value will be of y-axis which will determine the unified position on the plane.

Example 1:

Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0

Options:

a. y=5/3x- 2 b. 3Y=2x+5 c. 3Y=5x-2 d. None of these

Solution:

The given line is 3x + 2y + 4 = 0 or y = -3x / 2 – 2 Any line perpendicular to it will have slope = 2 / 3 Thus equation of line through (2, 3) and slope 2 / 3 is (y – 3) =\frac{2}{3(x – 2)} 3y – 9 = 2x – 4 3y – 2x – 5 = 0.

Correct Option is b.

Example 2:

Find the coordinate of the point which will divide the line joining the point (2,4) and (7,9) internally in the ratio 1:2?

Options:

a. (5/3 , 1/3) b. (3/8 , 3/11) c. (8/3 , 11/3) d. (11/3 , 17/3)

Answer:

The internal division will use the formula \frac{(mx_2 + nx_1)}{(m + n)} y = \frac{(my_2 + ny_1)}{(m + n)}. So, the point becomes (11/3, 17/3).