COMEDK · Maths · 10. Straight Lines
The coordinates of the foot of the perpendicular drawn from the point \((3,4)\) on the line \(2 x+y-7=0\) is
- A \((1,5)\)
- B \(\left(\frac{9}{5}, \frac{17}{5}\right)\)
- C \((1,-5)\)
- D \((-5,1)\)
Answer & Solution
Correct Answer
(B) \(\left(\frac{9}{5}, \frac{17}{5}\right)\)
Step-by-step Solution
Detailed explanation
Let \(\langle h, k\rangle\) be the coordinate of foot of perpendicular- Now, slope of line \(2 x+y-7=0\) is \(\left(\frac{-2}{1}\right)\), i.e. \(-2\). So, slope of perpendicular line. \[ =\frac{-1}{(-2)}=\frac{1}{2} \] \(\therefore\) Equation of perpendicular line is given by…
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