Which of the following is a characteristic of the circumcenter of a triangle? A. It is the center of the circle that can be insc
ribed in a given triangle. B. It is equidistant from all three sides of the triangle. C. It is equidistant from all the vertices in the triangle. D. It is the intersection of all three angle bisectors of the triangle.
1 answer:
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Answer:
If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and will be perpendicular to that.
Step-by-step explanation:
Let us assume that the line JK has the equation in slope-intercept form as
y = mx + c ............. (1)
Therefore, the equation has slope = m
Now, any straight line having an equation with slope m will be parallel to line JK.
So, the equation of the straight line which is parallel to equation (1) will be
y = mx + c', where, c' is any real constant.
Now, let us assume that another straight line having equation
y = nx + a is perpendicular to the line JK i.e. equation (1).
Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.
So, mn = - 1
⇒
Therefore, the equation of a straight line which is perpendicular to equation (1) will be where b is any real constant. (Answer)