3.a line through P(2,3) meets the coordinate axis at A and B if PA=2PB find the coordinate of A and B

4. find the angle subtended at the origin by the line segment whose end points are (0,100)and (10,0)

please guys its urgent.. experts please...........

1.

Let the coordinates of A and B be (*a*, 0) and (0, *b*) respectively.

Given, PA = 2PB

∴ PA : PB = 2 : 1

⇒ P(2, 3) divides AB in the ratio 2 : 1

Thus, the coordinates of A and B are (6, 0) and respectively.

2.

**
**