SSC CHSL 2024 PYQ — Question 55

The correct answer is option 2 i.e. 8 sq. units.

2x + y = 6.....................1

2x – y = –2....................2

Add equations 1 and 2

⇒ 4x = 4

⇒ x = 1

and y = 4

So, the intersection point (1, 4).

On x- axis y = 0

Put y = 0 in equation 1

x = 3

Intersection point (3, 0)

Put y = 0 in equation 2

x = -1

Intersection point (-1, 0)

So, the area of the triangle = $\frac{1}{2}\times|[(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|$

= $\frac{1}{2}\times|[(1(0-0)+3(0-4)-1(4-0)]|$

= $\frac{1}{2}\times|-16|$

= 8 sq. unit