TS EAMCET · Maths · Straight Lines
A triangle is formed by \(Y\)-axis, the straight line \(L\) passing through the points \((3,0),\left(1, \frac{4}{3}\right)\) and the straight line perpendicular to the line \(L\) and passing through the point \((8,1)\). Then, the area of the triangle (in sq units) is
- A 16
- B 21
- C 36
- D 39
Answer & Solution
Correct Answer
(D) 39
Step-by-step Solution
Detailed explanation
The equation of line passing through the points \((3,0)\) and \(\left(1, \frac{4}{3}\right)\) is \[ \begin{array}{rlrl} y-0 & =\frac{\frac{4}{3}-0}{1-3}(x-3) \\ \Rightarrow & y =\frac{-2}{3}(x-3) \\ \Rightarrow & 3 y =-2 x+6 \\ \Rightarrow & 2 x+3 y =6 \end{array} \] Any line…
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