Carcass wrote:
Attachment:
circle.jpg
O is the center of the circle, and \(\angle ROS\) is a right angle.
Quantity A |
Quantity B |
\(\frac{PQ}{RS}\) |
\(\frac{2}{1}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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R.A.EFor the diagram,
PQ = diameter of the circle, as it is passing through the centre
OR = OS = Radius of the circle and \(\angle ROS\) = 90°.
so the\(\triangle ORS\) is a 45°-90°-45°
and the sides are divided in \(1 : 1 : \sqrt2\)
therefore \(OR = OS = 1\) and \(RS = \sqrt 2\)
and\(PQ = 1 + 1 = 2\)
Now QTY A =\(\frac{PQ}{RS}= \frac{2}{\sqrt2} = \sqrt2 = 1.44\)
QTY B = 2
Therefore \(QTY A < QTY B.\)
OPtion B.
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66% (01:32) correct
