The value of λ For which the lines 3x+4y=5, 2x+3y=4 and λ x+4y=6 meet at a point, is:

Question

The value of λ For which the lines 3x+4y=5, 2x+3y=4 and λ x+4y=6 meet at a point, is: (A) 2 (B) 1 (C) 4 (D) 3

Tardigrade Admin · Accepted Answer

The given lines are 3x+4y=5 ...(i) 2x+3y=4 ...(ii) and λ x+4y=6 ...(iii) on solving Eqs. (i) and (ii), we get x=-1 and y=2 All lines meet at a point, therefore the above point satisfies the Eq. (iii) ⇒ -λ +8=6 ⇒ λ =2

Q. The value of $λ$ For which the lines $3 x + 4 y = 5,$ $2 x + 3 y = 4$ and $λ x + 4 y = 6$ meet at a point, is:

2

1

4

3

0

The given lines are $3 x + 4 y = 5$ ...(i) $2 x + 3 y = 4$ ...(ii) and $λ x + 4 y = 6$ ...(iii) on solving Eqs. (i) and (ii), we get $x = - 1$ and $y = 2$ All lines meet at a point, therefore the above point satisfies the Eq. (iii) $\Rightarrow$ $- λ + 8 = 6$ $\Rightarrow$ $λ = 2$

Q. The value of λ For which the lines 3x+4y=5, 2x+3y=4 and λx+4y=6 meet at a point, is:

2

1

4

3

0

The given lines are 3x+4y=5 ...(i) 2x+3y=4 ...(ii) and λx+4y=6 ...(iii) on solving Eqs. (i) and (ii), we get x=−1 and y=2 All lines meet at a point, therefore the above point satisfies the Eq. (iii) ⇒ −λ+8=6 ⇒ λ=2

Q. The value of $λ$ For which the lines $3 x + 4 y = 5,$ $2 x + 3 y = 4$ and $λ x + 4 y = 6$ meet at a point, is:

The given lines are $3 x + 4 y = 5$ ...(i) $2 x + 3 y = 4$ ...(ii) and $λ x + 4 y = 6$ ...(iii) on solving Eqs. (i) and (ii), we get $x = - 1$ and $y = 2$ All lines meet at a point, therefore the above point satisfies the Eq. (iii) $\Rightarrow$ $- λ + 8 = 6$ $\Rightarrow$ $λ = 2$