Straight Line Question 125

Question: The coordinates of the foot of the perpendicular from $ (x_1,y_1) $ to the line $ ax+by+c=0 $ are [Dhanbad Engg. 1973]

Options:

A) $ ( \frac{b^{2}x_1-aby_1-ac}{a^{2}+b^{2}},\frac{a^{2}y_1-abx_1-bc}{a^{2}+b^{2}} ) $

B) $ ( \frac{b^{2}x_1+aby_1+ac}{a^{2}+b^{2}},\frac{a^{2}y_1+abx_1+bc}{a^{2}+b^{2}} ) $

C) $ ( \frac{ax_1+by_1+ab}{a+b},\frac{ax_1-by_1-ab}{a+b} ) $

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • It is a fundamental concept.Note: students should remember this question as a formula.