Question
Question: Through the point (1, 2), a straight line is drawn so that its point of intersection with the line x...
Through the point (1, 2), a straight line is drawn so that its point of intersection with the line x + y = 4 is at a distance 36. The direction in which this line is drawn is –
A
300
B
450
C
600
D
750
Answer
750
Explanation
Solution
x + y = 4 ––– (2**)**
\ Point Q lies on the line (1), which is at 36
unit distances from the point P, \ r = 36
So,
Q point Q lies on the line (2)
Ž 1 + 36cos q + 2 + 36 sin q = 4
Ž 36 (sin q + cos q) = 1
Ž (sin q + cos q) = 23Ž q = 150 or 750