Functions in column I can take values of column II
Column-I | Column-II |
(i) x + can be | [A] 38 |
(ii) can be | [B] 0 |
(iii) 2x3 – 9x2 + 12x + 6 can be | [C] |
(iv) can be where [.] is G.I.F. | [D] -1 |
Text Solution
Verified by Experts(i) [A]; (ii) [A]; (iii) [A]; (iv) [A]
Ans.
(i) [A], [B], [C]
(ii) [A], [B], [C], [D]
(iii) [A], [B], [C], [D]
(iv) [A], [B], [D]
Sol. (i) x + 
= 
– 1 ∈ [0, ∞ ) → P,Q,R
(ii) 
= y ⇒ x ≠ –1
= 
⇒ y ≠ 1 ∈ R - {1} → P,Q,R,S
(iii) f(x) = 2x 3 – 9x 2 + 12x + 6
f'(x) = 6x 2 – 18 x + 12
= 6 (x 2 –3x + 2) = 6(x – 1) (x – 2)
f(1) = +ve
f(2) = +ve
f(x) can accept all real values → P,Q,R,S
(iv) All integral values → P,Q,S
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