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IPMAT Indore 2025 · Question 21 of 90 · Quantitative Ability (MCQ)

IPMAT Indore 2025 — Question 21

The area of the triangle, formed by the straight lines $y = 0$ , $12 x - 5 y = 0$ , and $3 x + 4 y = 7$ , is

A $\frac{28}{9}$
B $\frac{35}{27}$
C $\frac{14}{9}$
D $\frac{35}{54}$

Reveal answer

Correct answer

C.

\frac{14}{9}

Reveal solution

Vertices: $(0, 0)$ , $(7/3, 0)$ , and intersection of the two non-trivial lines at $(5/3, 4/3)$ . Area = $\frac{1}{2} \cdot \frac{7}{3} \cdot \frac{4}{3} = \frac{14}{9}$ .

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