Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let two sides of a rectangle of area 20 sq. units are along lines x-y = 0 and x + y = 2, then the locus of the point of intersection of diagonals is a
A
pair of ellipse
B
pair of straight lines
C
pair of hyperbola having eccentricity 2 and 
D
pair of hyperbola each havingeccentricity 
Text Solution
Verified by ExpertsThe correct answer is:
D
pair of hyperbola each having eccentricity 
Let diagonals AC & BD intersect at F (h, k)
Area of quad DEFG is 
(20) = 5
Now distance of (h, k) from x + y = 2 and x- y = 0 is 
& 
respectively.
(x- 1) 2 - (y - 1) 2 = 10 or (x - 1) 2 - (y - 1) 2 = -10
Both are hyperbola with eccentricity = 
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