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Answer 6) Since, diagonals AC and BD are equal. Hence, the points form a rectangle.
Answer 7) Distance between two points (x1,y1)
(x2,y2) is :
= √(x2-x1)^2 + (y2-y1)^2
here x1 = -2
y1 = 14
x2 = a
y2 = -5
Distance between two points is :
= √{(a+3)^2 + (-5+14)^2} = 9
Squaring on both sides
(a+3)^2+81 = 81
(a+3)^2=0
(a+3)(a+3) = 0
a+3 = 0
a = -3
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