Questions
A rectangle has two opposite vertices at the points (1, 2) and (5, 5). If the other vertices lie on the line , , the coordinates of the vertex nearer the axis of are
detailed solution
Correct option is A
Let the coordinates of the other vertices lying on x = 3 be 3,y1 and 3,y2Since the diagonals of a rectangle are equal and bisect each other, we havey1+y22=5+22⇒y1+y2=7and y2-y1=(5-1)2+(5-2)2=16+9=5If y2>y1 then y2=6,y1=1So that the coordinates of the vertex nearer the axis of x are (3, 1)Talk to our academic expert!
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Consider a point where m and n are positive integers.B is the reflection of A in the line is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon is
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