TS EAMCET · Maths · Straight Lines
If \(P M\) is the perpendicular from \(P(2,3)\) onto the line \(x+y=3\), then the coordinates of \(M\) are
- A (2, 1)
- B (−1,4)
- C (1, 2)
- D (4, −1)
Answer & Solution
Correct Answer
(C) (1, 2)
Step-by-step Solution
Detailed explanation
Let the co-ordinates of \(M\) are \(\left(x_1, y_1\right)\). Since the line \(P M\) is \(\perp\) to the given line \(x+y=3\) \(\begin{aligned} & \therefore \quad \frac{y_1-3}{x_1-2} \times(-1)=1 \\ & \Rightarrow \quad y_1-3=x_1-2 \\ & \end{aligned}\)…
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