Question 3
Two circles with centres $M,N$ are tangent to a line $\ell$ at $A,B$, respectively, as shown. Given $AB=25$, $MN=24$, and quadrilateral $ABNM$ has area 300, evaluate the product of the two radii. Original choices: (A) 120; (B) 144; (C) 150; (D) 176; (E) None of the above.
The printed numerical data may be inconsistent. This item is assessed manually: give the product if the configuration exists, or state that no such configuration exists. The original choices and key are retained for source comparison only.
The printed numerical data may be inconsistent. This item is assessed manually: give the product if the configuration exists, or state that no such configuration exists. The original choices and key are retained for source comparison only.