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Pair of Linear Equations in Two Variables

Short Answer Type

101.

Find the values of k for which the pair of equations :
kx + 3y = k - 2 and 12x + ky = k has no solution.

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102. Places A and B are 100 km a part on a highway. One car starts from A and another from B at the same time. If the cars travels in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars ?

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103. Write whether the following pair of linear equation is consistent or not. x + y = 14; x - y = 4

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104. Without drawing the graph, find whether the lines representing the following pair of linear equations intersect at a point are parallel or coincident.

18 straight x minus 7 straight y equals 24 semicolon space space 9 over 5 straight x minus 7 over 10 straight y equals 9 over 10

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105. Without drawing the graph, find whether the lines representing the following pair of linear equations intersect at a point are parallel or coincident.

$5 straight x plus 3 straight y minus 6 equals 0 semicolon space space 9 over 5 straight x plus 3 straight y equals 6$

Solution not provided.

Ans. Unique Solution.

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Long Answer Type

106. The coach of a cricket team buys 3 bats and 6 balls for Rs. 3900. Later, she buys another bat and 3 more balls of the same kind for Rs. 1300. Represent this situation algebraically and graphically.

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