Please Solve R.D.Sharma class 12 Chapter 27 Straight Line in Space Exercise 27.4 Question 3 Maths Textbook Solution.
Answer - The answer of this question is
(Hint – By using )
Given – Perpendicular from A ( 1,0,3)drawn at line joining points B (4,7,1) and (3,5,3).
Solution – Let D be the foot of the perpendicular drawn from A (1,0,3) to line joining points B (4,7,1) and C(3,5,3).
Now,
Now,
:: Co-ordinates of
Hence
Direction ratios pf AD
And by comparing with given line equation, direction ratios of the given line are
( Hint – denominator terms of line equation).
= (-1,-2,2)
Since PQ is perpendicular at the given line.
Therefore, By “ Conditions of Perpendicularity”.
; whereas a terms and b terms are direction ratio of lines which are perpendicular to each other.
Co-ordinates of D i.e. foot of perpendicular
By putting value of γ in D co-ordinate equation. we get,