Question

The point of concurrency of the lines (x + y) + k(x – y + 2) = 0 is
2) (1, -1)
3) (2,-2)
4) (-2, 2)
1)-1, 1)
​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The point of concurrency of the lines (x + y) + k(x – y + 2) = 0 is

1) (-1, 1)

2) (1, -1)

3) (2,-2)

4) (-2, 2)

EVALUATION

In order to find the point of concurrency of the lines (x + y) + k(x - y + 2) = 0 we have to solve the pair of linear equations

x + y = 0 - - - - - (1)

x - y + 2 = 0 - - - - (2)

Equation 1 + Equation 2 gives

2x + 2 = 0

$\implies \sf{2x = - 2}$

$\implies \sf{x = - 1}$

From Equation 1 we get

y = - x

$\implies \sf{y = 1}$

Hence the required point of concurrency = (-1,1)

FINAL ANSWER

Hence the correct option is 1) (-1, 1)

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