`x=4,y=3` और `3x+4y=12` समीकरणों के ग्राफ से बने त्रिभुज का क्षेत्रफल क्या हे?

Options

A. 6 sq. unit
B. 4 sq. unit
C. 3 sq. unit
D. 12 sq. units

Answer

A

Explanation

According to the question,
`rArr` At X-axis
OB=4 units
At Y -Axis OA=3 units
`rArr` From equation,
`3x+4y = 12`,
`3xx0+4y=12`
`3xx0+4y=12` At Y-axis, X=0] Y=3 units
`rArr` Again, `3x+4xx0=12`
`[At X-axis, Y=0]` x=4 units
`rArr` Area of triangle OAB
`rArr` Area of triangle OAB
`1/2xx OAxxOB = 1/2 xx 3 xx4`
6sq units