Question

If lines == and = $\frac { y - 3 } { 4 }$=lies in the same plane then for equation x₁t² + (x₂ + 2) t + a = 0

• A. 2x₁ – x₂ = 1
• B. Sum of roots of above equation = –2
• C. 2x₁ + x₂ = –4
• D. Sum of root is 0

Answer 1

Answer: (B)

Sum of roots of above equation = –2

Answer 2

Lines are coplanar if = 0

̃ 2x₁ –x₂ = 2

Also sum of roots = = $\frac { - 2 \mathrm { x } _ { 1 } } { \mathrm { x } _ { 1 } }$ = –2.