16.1 Possible Questions
period 2:
1. Q: 1. Find the distance from the point (1,1) to the graph of 2x+y+1=0
A: 4/ square root of 5
2. Q: Find the distance form the point (3,0) to the graph of y=x
A: 3/ square root of 2
3. Q: Find, to the four significant digits, the distance between the graphs of 2x-y+4=0 and 2x-y+7=0
A: 1.342
4. Q: Write the equation of the bisector of the angles formed by the graph of x=1 and y=1
A: x-y=0 x+y-2=0
5. Q: If the graph of 3x-4+k=0 is tangent to the circle with a radius of 3 and a center at (6,1), what is the value of k?
A: K=1, -29
Period 3:
1.
2.
3.
4.
5.
Period 4
1. Q: Find the distance from the centroid of triangle ABC to side AC if the vertices of the triangle are: A(6,2), B(2,4), and C(10,6).
2. Q: Find the distance from the origin to the graph of a line connecting points (6,2) and (4,6)
3. Find the distance between the center of a circle with the formula (x-2)2 + (y-4)2 = 25 and a chord of the circle connecting (7,4) and (5,8).
4. In triangle ABC with vertices A(4,5) B(6,3) and C(8,7), find the distance from vertex A to the midline connecting AB and AC.
5. Find the distance from point (10,12) to the graph of -10y = 5x + 15
Period 5
1. Q: Find distance from (2, -3) to the line y=2x-3
A: 4(square root(5))/5
2. Q: Find the perpendicular line to a line with an x-intercept=3 and a y-intercept= 8 and passing through (2,0). Then find, to four significant digits, the distance to (8,3).
A: 4.9157
3. Q: Find the distance from the reflection of (5,2) over y=x to 4x-3y+15=0.
A: 38(square root(35))/35
4. Q: Find x, to three significant digits, given the distance, 4, line, y=4x+1, and y-coordinate, 9.
7.849
5. Q: In quadrilateral ABCD points are; A( 1,2), B(3,5), C(3,5), D(0,0). What vertex is closer to BC? A or D?
A: D
Back