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Area of Triangle in Coordinate Geometry - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Area of Triangle is considered one the most difficult concept.
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37 Questions around this concept.
Solve by difficulty
Let a line $y=m x(m>0)$ intersect the parabola, $y^2=x_{\text {at a point } \mathrm{P} \text {, oyher than the }}$ origin. Let the tangent to it at P meet the x-axis at the point Q . If area $(\triangle O P Q)=4$ sq.units, then m is equal to $\qquad$
Drawn from the origin are two mutually perpendicular lines forming an isosceles triangle together with a straight line , then the area of this triangle is:
Concepts Covered - 1
Area of Triangle
Area of Triangle
If vertices of a triangle ABC given as A (x1, y1), B (x2, y2) and C(x3, y3), then area of ΔABC is
\begin{equation}
\left|\frac{1}{2}\right| \begin{array}{lll}
x_1 & y_1 & 1 \\
x_2 & y_2 & 1 \\
x_3 & y_3 & 1
\end{array}\left|\left|=\frac{1}{2}\right| \mathrm{x}_1\left(\mathrm{y}_2-\mathrm{y}_3\right)+\mathrm{x}_2\left(\mathrm{y}_3-\mathrm{y}_1\right)+\mathrm{x}_3\left(\mathrm{y}_1-\mathrm{y}_2\right)\right|
\end{equation}
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