Straight Line Question 78
Question: A variable line passes through a fixed point P. The algebraic sum of the perpendicular drawn from (2,0), (0, 2) and (1, 1) on the line is zero, then the coordinates of the P are [IIT 1991; AMU 2005]
Options:
A)(1, -1)
B)(1, 1)
C)(2, 1)
D)(2, 2)
Correct Answer: B
Show Answer
Answer:
Solution:
Þ $ 3-3m+3mx_1-3y_1=0\Rightarrow y_1-1=m(x_1-1) $ Since it is a variable line, so hold for every value of m. Therefore $ y_1=1,x_1=1\Rightarrow P(1,1) $ .
BETA
