The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 3 units. Write the coordinates of the point if it lies in the:
(i) I quadrant (ii) II quadrant
(iii) III quadrant (iv) IV quadrant
(i) (3, 2)
(ii) (-3, 2)
(iii) (-3, -2)
(iv) (3, -2)
In right triangle AOB OA2 + OB2 = AB2
| By Pythagoras Theorem
⇒ 42 + OB2 = 52
⇒ 16 + OB2 = 25
⇒ OB2 = 9
⇒ OB = 3
⇒ B → (0, 3)
M → (2, 0)
N → (0, -6)
∵ ∆ABC is an equilateral triangle
∴AC = BC = AB
⇒ BC = AB
⇒ BC = 2a
In right triangle COB,
OB2 + OC2 = BC2 a2 + OC2 = (2a)2
OC2 + 3a2
Similarly,