Question:
The area of the triangle formed by the lines x = 3, y = 4 and x = y is
(a) $1 / 2$ sq. unit
(b) 1 sq. unit
(c) 2 sq. unit
(d) None of these
Solution:
Given $x=3, y=4$ and $x=y$
We have plotting points as $(3,4)(3,3)(4,4)$ when $x=y$
Therefore, area of $\triangle A B C=\frac{1}{2}($ Base $\times$ Height $)=\frac{1}{2}(A B \times A C)=\frac{1}{2}(1 \times 1)=\frac{1}{2}$
Area of triangle $A B C$ is $\frac{1}{2}$ square units
Hence, the correct choice is a
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.