KICKGMATASS123 wrote:In the figure shown, the circle has center O and radius 50, and point P has coordinates (50,0). If point Q (not shown) is on the circle, what is the length of line segment PQ ?
1) The x-coordinate of point Q is – 30.
2) The y-coordinate of point Q is – 40.
OA is A
I fell for C can someone explain???
Thanks much in anticipation!
p is a point that is on the x-axis, which splits the circle in half. so as long as point q is on the other side of the y-axis the length formed is measurable.
statement 1)
q has x coordinate -30. that means if you start from (-30, 0) and trace up (above the x axis) there is a point, Q, on the circle at (-30,y), which will form line PQ. Similarly if you trace down below the x-axis, there is a point, Q at (-30, -y) on the circle, which will form line PQ. We don't need to solve for y. All we need to know is that we can solve for it. both lines from (-30,y) to (50,0) and (-30,-y) to (50,0) are equal in length. Sufficient.
statement 2)
q has y coodinate -40. that means if you start from (0,-40) and trace to the left of the y-axis, there is a point Q, on the circle at (-x,-40) which will form line PQ. Similarly if you trace to the right of y-axis, there is a point Q, on the circle at (x,-40) which will form line PQ. However, both of these lines have different lengths because one Q is closer to P than the other Q. Insufficient.
A is answer.
you got this, man!
