Match the following-
Column –I | Column –II |
(i) If the lines = = and = = intersect at (α, β, γ) then λ = | [A] 0 |
(ii) If 4x = y2 + 4y + 5 then y = | [B] -1 |
(iii) If chord x + y + 1= 0 of parabola y2 = ax subtends 90º at (0, 0) then a = | [C] -3 |
(iv) If = + +, . = 1 and × =–, then || is equal to | [D] 1 |
Text Solution
Verified by Experts(i) [A]; (ii) [B]; (iii) [B]; (iv) [D]
Ans.
(i) [A]
(ii) [B],[C]
(iii) [B]
(iv) [D]
Sol. (i) Given lines intersect if
= 0
⇒ λ = 0, – 1
(ii) 
4x 
=2 = y2 + 4y + 5
⇒ y = –1, – 3
(iii) y2 – ax (– x – y) = 0
⇒ for perpendicular lines a + b = 0
⇒ 1 + a = 0
⇒ a = – 1
(iv) ( 
× 
) × 
= ( 
– 
) × 
⇒ ( 
. 
) 
– ( 
. 
) 
= ( 
– 
) × 
on solving, we get 
= 
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