MHT CET · Maths · Area Under Curves
The area of the region bounded by the lines and is
- A sq. unit
- B sq.unit
- C sq.unit
- D sq. unit
Answer & Solution
Correct Answer
(D) sq. unit
Step-by-step Solution
Detailed explanation
\(A (\) shaded region \()=A(\triangle A B D)-A(\triangle A B C)=\frac{1}{2}[4 \times 12-4 \times 8]=\) \(\frac{1}{2}(48-32)=8\) sq.units.
OR
\(A=(\triangle A C D)=\frac{1}{2}\left|\begin{array}{ccc}0 & 1 & 1 \\ 4 & 9 & 1 \\ 4 & 13 & 1\end{array}\right|\)
\(=\frac{1}{2} \times 16=8\)
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