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Solution


Q.

XOYZ is a rectangle with vertices X(–3, 0), O(0, 0), Y(0, 4) and Z(x, y). The length of its each diagonal is
1 5 units  
2 5 units  
3 x2+y2 units  
4 4 units  

Ans.

(1)

We know that, Length of Diagonals are equal

In Rectangle, ZO = YX

⇒ZO2=YX2⇒(x-0)2+(y-0)2=(0+3)2+(4-0)2

⇒x2+y2=25

⇒x2+y2=5  Both diagonals are 5 units