Question

0rigin O=(0,0),A=(4,0),B=(0,6) are three points . If P is a point such that area of triangle POB is twice the area of triangle POA. then locus of P is​

Answer 1

Answer:

3|X|=2|Y|

Step-by-step explanation:Let the point P be (x,y)

Area of △POB=2×Area of △POA

$\left[\begin{array}{ccc}X&Y&1\\0&0&1\\0&6&1\end{array}\right]$=2$\left[\begin{array}{ccc}X&Y&1\\0&0&1\\4&0&1\end{array}\right]$  

⟹6∣x∣=8∣y∣⟹3∣x∣=2∣y∣

The locus of P is 3∣x∣=2∣y∣

Answer 2

Step-by-step explanation:

the answer is 9x²=16y²

solution =