Question

What’s the correct answer for this?

Answer 1

36

Explanation:

In circle with center O,

`chord\overline {EF} \cong chord\overline {WV}... (Given)`

Since, congruent chords are equidistant from the center of the circle.

`\therefore PG = GO\\</p><p>\therefore - x +10 = - 3(x+2)\\</p><p>\therefore - x + 10 = - 3x - 6\\</p><p>\therefore 3x - x = - 6-10\\</p><p>\therefore 2x = - 16\\\\</p><p>\therefore x = (-16)/(2) \\\\</p><p>\huge \red {\boxed {\therefore x = - 8}} \\\\</p><p>\because \overline {PO} = \overline {PG} + \overline {GO} \\</p><p>\therefore \overline {PO} = - x + 10 + \{-3(x + 2)\}\\</p><p>\therefore \overline {PO} = - x + 10 - 3x - 6\\</p><p>\therefore \overline {PO} = - 4x + 4 \\</p><p>\therefore \overline {PO} = - 4* (-8)+ 4 \\</p><p>\therefore \overline {PO} =32+ 4 \\</p><p>\huge \orange {\boxed {\therefore \overline {PO} =36}} \\`