Can someone help me with this question plz thx :,)
1 answer:
You might be interested in
9514 1404 393
Answer:
- circle
- y-axis
- 5 units
Step-by-step explanation:
It can be helpful to actually see the graph. For 0 ≤ θ ≤ π, a circle is developed above the x-axis, symmetrical about the y-axis (θ=π/2). For π ≤ θ ≤ 2π, the same circle is traced again in the same direction (CCW), as values of r are negative for those angles.
The circle has a radius of 2.5, centered at (0, 2.5), so the diameter is 5 units. The length of the diameter is the farthest distance between any two points on a circle.
Given:
The equations of lines are
To find:
The relation between two of lines.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
We have,
...(i)
...(ii)
Equation (i) can be written as
...(iii)
On comparing (i) with slope intercept form, we get
On comparing (iii) with slope intercept form, we get
Now,
The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.
Therefore, the given lines are perpendicular.