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A pole must be 7 m farther from gate A than gate B on a circular park of diameter 13 m. The pole goes:
A7 m from B and 7 m from A
BNowhere, it is impossible
C5 m from B and 12 m from A
D6 m from B and 13 m from A
Answer & Solution
Correct answer: C. 5 m from B and 12 m from A
1. Pythagoras on the diameter gives a quadratic.
2. Its roots are 5 and minus 12.
3. So the pole is 5 m from B and 12 m from A.
_Source: NCERT Class 10 Mathematics, Chapter 4, Quadratic Equations._
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