Question 1
Find the distance between the points A(3 , 4) and B(5 , 8)
Question 2
Find x so that the distance between the points (x , 4) and (5 , 3) is equal to 5.
Question 3
Write the equation of the circle with center at (0 , 0) and a radius of 6.
Question 4
Find the
center and radius of the circle whose equation is given by: (x  2)^{2} + (y + 5)^{2} = 13
Question 5
Find the center and radius of the circle whose equation is given by: (5  x)^{2} + (y  1)^{2} = 4
Question 6
Find the center and radius of the circle whose equation is given by: (4  x)^{2} + (y + 11)^{2} = 9
Question 7
Find the center and radius of the circle whose equation is given by: x^{2} + y^{2} + 6x  10 y = 9
Question 8
Find the center and radius of the circle whose equation is given by: x^{2} + y^{2} + 4y = 0
Question 9
Find the center and radius of the circle whose equation is given by: x^{2}  y^{2} + 8x = 0
Question 10
Find the equation of a circle that has a diameter with end points (6 , 1) and (2 , 5).
Question 11
Find the point(s) of intersection of the circle with equation x^{2} + y^{2} = 4 and the circle with equations (x  2)^{2} + (y  2)^{2} = 4.
Question 12
Find the equations of the circle with center at (3 , 5) and passes through the point (5 , 1).
Question 13
Find the equations of the circle that passes through the points (0 , 6), (0 , 0) and (8 , 0).
Question 14
Find the point of intersection of the circle with equation (x  2)^{2} + y^{2} = 8 and the line with equation y = x  2
Question 15
For what value of K will the line with equation y = K x be tangent to the circle with equation (x  7)^{2} + (y  6)^{2} = 9?
Question 16
For what value of K will the line with equation x = 6 be tangent to the circle with equation x^{2} + y^{2} = K?
Question 17
Is the point (3 , 5) inside, outside or on the circle with equation x^{2} + y^{2} = 9?
Question 18
For what value of K is the point (1 , K) inside the circle with equation x^{2} + y^{2} = 4?
Question 19
For what value of K is the point (K , 2) outside the circle with equation x^{2} + y^{2} = 9?
Question 20
For what value of K is the point (K , 2K) on the circle with equation x^{2} + y^{2} = 5?
ANSWERS TO ABOVE QUESTIONS
1) 2 √(5)
2) x = 7 , x = 3
3) x^{2} + y^{2} = 36
4) center at (2 , 5) , radius = √(13)
5) center at (5 , 1) , radius = 2
6) center at (4 , 11) , radius = 3
7) center at (3 , 5) , radius = √(43)
8) center at (0 , 2) , radius = 2
9) center at (4 , 0) , radius = 4
10) (x + 2)^{2} + (y + 2)^{2} = 25
11) (2 , 0) and (0 , 2)
12) (x + 3)^{2} + (y  5)^{2} = 100
13) (x  4)^{2} + (y  3)^{2} = 25
14) (0 , 2) and (4 , 2)
15) K = (21 + 3 √(19)) / 20 = 1.7 (approximated to one decimal place)
and K = (21  3 √(19)) / 20 = 0.4 (approximated to one decimal place)
16) K = 36
17) Outside
18) √(3) < K < √(3)
19) K may have any value in the interval (  infinity , √(5) ) U ( √(5) + infinity)
20) K = 1, K = 1
More References and Linkscenter and radius of the circle
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