Let the points A,B,C and D are represented by complex numbers Z_1,Z_2,Z_3 and Z_4 respectively. If A,B and C are not collinear and…

Question

Let the points A,B,C and D are represented by complex numbers Z_1,Z_2,Z_3 and Z_4 respectively. If A,B and C are not collinear and 2Z_1+Z_2+Z_3-4Z_4=0, then the value of (Area of ΔDBC)/(Area of ΔABC) is equal to

MARKS Content Team · Accepted Answer

Correct answer: 0.5. Here, Z_4=(Z_1+Z_2+Z_3)/22 Let, midpoint of the line joining B & C is EZ_5, where Z_5=(Z_2+Z_3)/2, then Z_4 is midpoint of Z_1 & Z_5 ⇒(Area of ΔBDC)/(Area of ΔBAC)=1/2=0.5

Let the points $A, B, C$ and $D$ are represented by complex numbers $Z_{1}, Z_{2}, Z_{3}$ and $Z_{4}$ respectively. If $A, B$ and $C$ are not collinear and $2 Z_{1} + Z_{2} + Z_{3} - 4 Z_{4} = 0,$ then the value of $\frac{A r e a o f Δ D B C}{A r e a o f Δ A B C}$ is equal to

Solution

More Complex Number Questions

Let the points A,B,C and D are represented by complex numbers Z1,Z2,Z3 and Z4 respectively. If A,B and C are not collinear and 2Z1+Z2+Z3-4Z4=0, then the value of Area of ΔDBCArea of ΔABC is equal to

Solution

More Complex Number Questions

Let the points $A, B, C$ and $D$ are represented by complex numbers $Z_{1}, Z_{2}, Z_{3}$ and $Z_{4}$ respectively. If $A, B$ and $C$ are not collinear and $2 Z_{1} + Z_{2} + Z_{3} - 4 Z_{4} = 0,$ then the value of $\frac{A r e a o f Δ D B C}{A r e a o f Δ A B C}$ is equal to