JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1

The area of the triangle formed by the lines

y=m_{1} x+c_{1}

y=m_{2} x+c_{2}

and

x=0

View answer and explanation

Correct option: C

\frac{1}{2} \frac{\left(c_{1}-c_{2}\right)^{2}}{\left(m_{1}-m_{2}\right)}

Option C (

\frac{1}{2} \frac{\left(c_{1}-c_{2}\right)^{2}}{\left(m_{1}-m_{2}\right)}

) is correct because it represents the area of the triangle formed by the given lines, calculated by finding the vertices and using the area formula.

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