Question
If p and q be the longest and the shortest distance respectively of the point (-7,2) from any point ( , ) on the curve whose equation is x^2+y^2-10 x-14 y-51=0, then G.M. of p
BITSAT
Mathematics
Circle
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 2 11
- B. 5 5
- C. 13
- D. 11
Answer
A. 2 11
Step-by-step solution
The centre C of the circle =(5,7) and the radius = 5^2+7^2+51 =5 5 PC = 12^2+5^2 =13 q=P A=13-5 5 and p=P B=13+5 3 G.M. of p and q = p q = (13-5 5 )(13+5 5 ) = 169-125 =2 11 .
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