Consider aparallelogram ABCD as shown with equation of its all four sides. The equation of the diagonal AC is given by

Question

Consider aparallelogram ABCD as shown with equation of its all four sides. The equation of the diagonal AC is given by (A) u 1 u 2- u 3 u 4=0 (B) u 1 u 4- u 2 u 3=0 (C) u1+λ u2=0 where λ is the value for which the lines u1+λ u2=0, u3=0 and u4=0 are concurrent. (D) u 1+λ u 4=0 where λ is the value for which the lines u 1+λ u 4, u 2=0 and u 3=0 are concurrent.

Tardigrade Admin · Accepted Answer

Correct answer is (b) u 1 u 4- u 2 u 3=0Correct answer is (c) u1+λ u2=0 where λ is the value for which the lines u1+λ u2=0, u3=0 and u4=0 are concurrent.

Q. Consider aparallelogram $A BC D$ as shown with equation of its all four sides. The equation of the diagonal $A C$ is given by

$u_{1} u_{2} - u_{3} u_{4} = 0$

$u_{1} u_{4} - u_{2} u_{3} = 0$

$u_{1} + λ u_{2} = 0$ where $λ$ is the value for which the lines $u_{1} + λ u_{2} = 0, u_{3} = 0$ and $u_{4} = 0$ are concurrent.

$u_{1} + λ u_{4} = 0$ where $λ$ is the value for which the lines $u_{1} + λ u_{4}, u_{2} = 0$ and $u_{3} = 0$ are concurrent.

Correct answer is (b) $u_{1} u_{4} - u_{2} u_{3} = 0$ Correct answer is (c) $u_{1} + λ u_{2} = 0$ where $λ$ is the value for which the lines $u_{1} + λ u_{2} = 0, u_{3} = 0$ and $u_{4} = 0$ are concurrent.

Q. Consider aparallelogram ABCD as shown with equation of its all four sides. The equation of the diagonal AC is given by

u1​u2​−u3​u4​=0

u1​u4​−u2​u3​=0

u1​+λu2​=0 where λ is the value for which the lines u1​+λu2​=0,u3​=0 and u4​=0 are concurrent.

u1​+λu4​=0 where λ is the value for which the lines u1​+λu4​,u2​=0 and u3​=0 are concurrent.