Question
Question: The number of points on the line 3x + 4y = 5, which are at a distance of sec<sup>2</sup>q + 2 cosec<...
The number of points on the line 3x + 4y = 5, which are at a distance of sec2q + 2 cosec2q, qĪ R, from the point (1, 3), is-
A
1
B
2
C
3
D
Infinite
Answer
2
Explanation
Solution
The perpendicular distance of (1, 3) from the line 3x + 4y =5 is 2 units while,
sec2q + 2 cosec2q ³ 3 {as sec2q, cosec2 q ³ 1}
Evidently, these will be two such points on the line.