Question

Find the value of C so that the graph of

x² + y²
12x + 14y - C = 0
passes through the point (10, 1).

Answer 1

C = 235

Explanation:

given the graph passes through (10, 1 ) then the coordinates of the point make the equation true.

substitute x = 10, y = 1 into the equation and solve for C

10² + 1² + 12(10) + 14(1) - C = 0

100 + 1 + 120 + 14 - C = 0

235 - C = 0 ( subtract 235 from both sides )

- C = - 235 ( multiply both sides by - 1 )

C = 235