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CGP EDU Academic Team
Published on: August 13, 2026
A rectangular hyperbola passing through (3, 2) having centre at (1, 2) and its asymptotes are parallel to lines x + y = 2 and x – y = 3.
On the basis of above information, answer the following questions .
(i) The equation of asymptotes are –
A
(x + y – 3) (x + y –1) = 0 (x + y – 3) (x – y +1) = 4 4
B
(x + y – 3) (x – y +1) = 0 (x + y – 3) (x – y +1) = 8 4 
C
(x + y + 3) (x – y +1) = 0 (x + y + 3) (x – y +1) = 4 2 
D
None of these (ii) The equation of rectangular hyperbola is – None of these (iii) Distance between foci is – None of these
Text Solution
Verified by ExpertsThe correct answer is:
D
Ans.
(i)
Sol. (x + y – 3) (x – y +1) = 0
(ii)
Sol. (x + y – 3) (x – y +1) = 4
(iii)
Sol. 4 
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