Perpendicular: (a+λb)⋅(a−λb)=0, so ∣a∣2−λ2∣b∣2=0. Then 9−16λ2=0, giving λ2=169, so λ=43.
Match List - I with List - II. | List - I (Functions) | List - II (Maximum value) | |---|---| | (A) f(x) = -x^2, x ∈ (-∞, ∞) | (I) 8 | | (B) f(x) =…
CUET UG 2023 — Mathematics Applied-Mathematics
2023mcqeasy
Match List - I with List - II.
| List - I (Functions) | List - II (Maximum value) |
|---|---|
| (A) f(x)=−x2,x∈(−∞,∞) | (I) 8 |
| (B) f(x)=−x2+1,x∈(−∞,∞) | (II) 7 |
| (C) f(x)=x+1,x∈[0,6] | (III) 1 |
| (D) f(x)=x3,x∈[0,2] | (IV) 0 |
Choose the correct answer from the options given below :
Official previous-year question
Held on 30 May 2023 · Verified 13 Jul 2026.
Options
- A
(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
- B
(A)-(III), (B)-(II), (C)-(I), (D)-(IV)
- C
(A)-(II), (B)-(I), (C)-(III), (D)-(IV)
- D
(A)-(I), (B)-(IV), (C)-(II), (D)-(III)
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