PLZ GUYS CAN U SOVE THIS ONE
Attachments:
Answers
Answered by
1
Answer:
a + b = 68
Step-by-step explanation:
x² + y² - 12x - 6y - 4 = 0
=> (x - 6)² -36 + (y - 3)² - 9 - 4 =0
=> (x - 6)² + (y - 3)² = 49
=> (x - 6)² + (y - 3)² = 7²
Center point 6 , 3 & radius = 7
x² + y² - 4x - 12y - k = 0
=> (x - 2)² - 4 + (y - 6)² - 36 - k = 0
=> (x - 2)² + (y - 6)² = (√(40 + k) )²
Center point = 2 , 6 & radius = √(40 + k)
Distance between center points = √(6-2)² + (3-6)² = 5
Radius of circle = 7
hence radius of another circle can be between 7 -5 & 7 + 5
2 & 12
=> 2 ≤ √(40 + k) ≤ 12
Squaring both sides
=> 4 ≤ 40 + k ≤ 144
=> -36 ≤ k ≤ 104
Comparing with
a ≤ k ≤ b
a = -36
b = 104
a + b = -36 + 104 = 68
a + b = 68
PLEASE MARK ME AS BRAINLIEST PLEASE PLEASE
Similar questions