Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to

where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values


step 2
Verify each case
case A) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair Q not lie on the circle
case B) 
substitute the value of
in the equation of the circle and then compare the results

------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair T not lie on the circle
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
The change in value of the 5th digit is, 2.
50,000 to 70,000. Which is an addition of 20,000
Answer:
Step-by-step explanation:
Factorize using square root method.
x² - 2x + 2 = (x-a)² + b
x² -2x + 1 + 1 = (x-a)²+b
(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b {Compare with a²- 2ab+b² which is (a - b)²}
(x - 1)² + 1 = (x - a)² + b
a = 1 and b = 1