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Question : 43 of 160
Marks:
+1 ,
-0
( 0 , 8 ) , ( − 1 , 1 ) ( − 1 , 1 ) , ( 0 , 8 ) ( − 2 , − 6 ) , ( 1 , 15 ) ( 1 , 3 ) , ( − 2 , 6 )
Solution:
Let
B and
D be other two coordinates of the square lying on the line
7 x − y + 8 = 0 ‌ B ( x 1 , 7 x 1 + 8 ) ‌ D ( x 2 , 7 x 2 + 8 ) Mid-point of
B and
D is
( − ‌ , ‌ ) .
∴ ‌ ‌ ‌ = ‌ ⇒ x 1 + x 2 = − 1 ......(i)
Also,
( A M ) 2 = ( B M ) 2 x 1 = 0 , − 1 x 1 = 0 , y 1 = 8 x 1 = − 1 , y 1 = 1 ∴ Required coordinates of the two vertices are
( 0 , 8 ) , ( − 1 , 1 )
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