Ajit and Sumit played a chess game. Ajit play with White and Sumit played with
black pieces. At the end there was a position as shown in the diagram. Later on
Ajay and Vijay continued the game with the available position. Answer the
following question: a) Ajay moved the queen and its movement is represented by x + y = 5. Where
as Vijay moved his queen and its movement is represented by 2x – y + 2 = 0.
Will the queens be able to meet at one point?
b) (b) What condition will be used to state that both queens will meet at one point?
c) White rook moves on the line x = 3 and Black rook move on the line x = 5.
Will the rooks meet at one point?
d) White rook moves on the line x = 5 and Black queen moves on the line
x + y = 6. Will the rook and queen meet at one point?
e) (e) If the pair of linear equations x + 2y = 5 and 7x + 3y = 13 has unique
solution, then find the values of x and y.
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