Match the items of column I with that of column II
Column –I | Column –II |
(i) If the line == lies in the plane 3x – 2y + 5z = 0, then λ is equal to | [A] sin–1 |
(ii) If (3, λ, μ) is a point on the line 2x + y + z – 3 = 0 = x –2y + z – 1, then λ + μ is equal to | [B] |
(iii) The angle between the Line x = y = z and the Plane 4x – 3y + 5z = 2, is | [C] -3 |
(iv) The angle between the Planes x + y + z = 0 and 3x – 4y + 5z = 0 is equal to | [D] cos–1 |
Text Solution
Verified by Experts(i) [B]; (ii) [C]; (iii) [A]; (iv) [D]
Ans.
(i) [B]
(ii) [C]
(iii) [A]
(iv) [D]
Sol.
(i) 3(1) – 2 (–2) + 5 λ = 0 ⇒ λ = – 
(ii) equation of line 
= 
= 
satisfying (3, λ, μ )
⇒ λ = – 
, μ = – 
⇒ λ + μ = –3
(iii) sin –1 
= sin –1 
= sin –1 
(iv) θ = cos –1 
= cos –1 
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