Match the following:
Column-I | Column- II |
(i) lines , are concurrent then value of is | [A] 2 |
(ii) The points and are collinear, then the value of is | [B] 4 |
(iii) If line , Passing through the intersection of and is perpendicular to one of them, then the value of is | [C] |
(iv) If line is equally inclined to axes and equidistant from the points (1, -2) and (3, 4), then is | [D] -4 |
Text Solution
Verified by Experts(i) [A]; (ii) [A]; (iii) [A]; (iv) [A]
Ans.
(i) [A], [D].
(ii) [A], [C]
(iii) [A]
(iv) [A]
Sol. (i) lines are concurrent 
= 0
⇒ λ 2 + 2 λ – 8 = 0 ⇒ λ = 2, – 4
(ii) Points are collinear 
= 0
⇒ 2 λ 2 – 3 λ – 2 = 0 ⇒ λ = 2, – ½
(iii) Point of intersection of x – y + 1 = 0 and 3x + y – 5 = 0 is (1, 2) it will satisfy x + y – 1 – λ = 0 ⇒ λ = 2
(iv) mid-point of (1, –2) and (3,4) will satisfy y – x –1+ λ = 0 ⇒ λ = 2
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