Question

Solve:
(a) Find the point on y = 2x + 2 where the ordinate is thrice the abscissa
(b) If the point P lies on the line x = 5 and has its ordinate equal to –3, then find its coordinates. [3 MARKS]

Answer 1

Sub-part (a) : 2 Marks
Sub-part (b) : 1 Mark

(a)Given,x=3y
Let the required point be (a, 3a)

Since the point is on the line y = 2x + 2, it is a solution of the equation

3a = 2a + 2

a = 2

Hence, the required point is (2, 6)

(b) Since the point lies on x = 5, its X coordinate is 5

Its Y coordinate has been given in the problem as -3

Thus, its coordinates are (5, -3)