Coordinate Geometry | MCQs

Explanation

 The point (0, -7) lies on the Y-axis because the x-coordinate is 0, and only the y-coordinate has a non-zero value (-7). Points on the Y-axis do not belong to any specific quadrant but are considered as lying directly on the axis itself.

Quadrant I contains points where both x and y are positive.

Quadrant II contains points where x is negative and y is positive.

Quadrant III contains points where both x and y are negative.

Quadrant IV contains points where x is positive and y is negative.

Since the x-coordinate is 0, this point is on the Y-axis.

Explanation

Rise over run denotes the slope of a line. The slope formula is:

Slope = (y2 - y1) / (x2 - x1)

This is often referred to as "rise over run" because the numerator (y2 - y1) represents the vertical change (rise) and the denominator (x2 - x1) represents the horizontal change (run).

The answer is y2 - y1/x2 - x1.

Explanation

In the 3rd quadrant, both the x and y coordinates are negative.

The point (-1, 2) has a positive y-coordinate, so it does not lie in the 3rd quadrant.

Explanation

In the Cartesian plane, Quadrant II contains points where x is negative and y is positive.

Since (-3, 8) has x = -3 (negative) and y = 8 (positive), it lies in Quadrant II.

Explanation

(x, y) is equidistant from (0, 1) and (3, 3).

Distance formula gives 6x + 4y = 17.

Check (1.5, 2): 6(1.5) + 4(2) = 9 + 8 = 17.

So, (1.5, 2) is the point.

Explanation

Explanation

The correct answer is:

2 is abscissa and 4 is ordinate

In an ordered pair (x, y), x is the abscissa (the value on the x-axis) and y is the ordinate (the value on the y-axis).

Explanation

If + 2 means a height of 2m from the ground then -2 will be 2m below the surface 

Explanation

See the point (3,-2) will lie on the fourth quadrant

As in the first quadrant, the sign for”x co-ordinate” and “y co-ordinate” are

(+x,+y)

And for the second quadrant ,the sign for”x co-ordinate” and “y co-ordinate” are (-x,+y)

Next for the third quadrant ,the sign for”x co-ordinate” and “y co-ordinate” are (-x,-y)

And for the fourth quadrant, the sign for “co-ordinate” and “y co-ordinate” are (+x,-y)

And so as the point (3,-2) lies in the fourth quadrant where x is 3 and y is -2

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agm.04.03.23

ND18-1-2023

Explanation

The point (2,−3) lies in the third quadrant.