Straight Line and Pair of Straight Lines 1 Question 5
5. If the two lines and are perpendicular, then the distance of their point of intersection from the origin is
(a)
(b)
(c)
(d)
(2019 Main, 9 April II)
Show Answer
Solution:
Key Idea
(i) If lines are perpendicular to each other, then product of their slopes is -1 , i.e.
(ii) Distance between two points
Given, lines
and
are perpendicular to each other
and
On solving Eq. (i) and Eq. (ii), we get
Now, required distance of the point