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Q) Let f:R→R be a function such that f(x)+3f(𝜋/2−x)=sinx, x∈R. Let maximum value of 𝑓 on 𝑅 be 𝛼. I

Q) Let f:R→R be a function such that f(x)+3f(𝜋/2−x)=sinx, x∈R. Let maxim…

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YouTubeShivang Maths Academy JEE

Let S be the set of all (α,β) ∈R×R such that (sin⁡(x^2)(〖log〗_e x)^α sin(1/x^2 ))/(x^αβ

Let S be the set of all (α,β) ∈R×R such that (sin⁡(x^2)(〖log〗_e x)…

1.1K viewsMar 31, 2025

YouTubeMaths magically delivered

Let f:R→R be a twice differentiable function such that f''(x) 0 for all x∈R and f^' (a-1)=0, where

Let f:R→R be a twice differentiable function such that f''(x) 0 for all x∈…

1.2K views3 months ago

YouTubeMaths magically delivered

Let S be the set of all (α, β) ∈ R × R such that lim (x→∞) [ sin(x²) (logₑ x)ᵅ sin(1/x²) ] / [ xᵅᵝ

Let S be the set of all (α, β) ∈ R × R such that lim (x→∞) [ sin(x²) (logₑ …

4.8K viewsApr 11, 2025

YouTubeOm Sharma Sir : Pearson Author | IIT Bombay

Let A=[■(cos⁡α&-sin⁡α@sin⁡α&cos⁡α )],(α∈R) such that A^32=[■(0&-1@1&0)]. Then a value of α is

Let A=[■(cos⁡α&-sin⁡α@sin⁡α&cos⁡α )],(α∈R) su…

1.4K viewsJul 4, 2021

YouTubeMath Master - Impetus Gurukul

$Let α,β∈R be such that the functio f(x)={(2α(x^2-2)+2βx&,x1@(α+3)x+(α-β)&,x≥1 #jeemain #2026 #pyq$

Let α,β∈R be such that the functio f(x)={(2α(x^2-2)+2βx&,x1@(α+3)x+…

155 views3 months ago

YouTubeMaths magically delivered

For some α,β∈R, let A=[(α 2 1 2)] and B=[ (1 1 1 β)] be such that A^2-4A+2I=B^2- 3B+I=O. #jeemain

For some α,β∈R, let A=[(α 2 1 2)] and B=[ (1 1 1 β)] be such that A^2-4A…

600 views3 months ago

YouTubeMaths magically delivered

For some α , β ∈ R , let A = [ α 2 1 2 ] and B = [ 1 1 1 β ] be such that A^…

763 views3 months ago

YouTubeEasy Math 4 JEE

Let f : R → R be a function such that f(x+y) = f(x) + f(y) for all x,y ∈ R, an…

822 viewsApr 1, 2025

YouTubeMaths magically delivered

If the domain of the function f(x) = cos^(-1) ((2x-5)/(11-3x))+ sin^(-1) (…

815 views3 months ago

YouTubeMaths magically delivered

Let A=(■(cos⁡α&-sin⁡α@sin⁡α&cos⁡α )),(α∈R) su…

137 viewsJun 6, 2024

YouTubeMath Master - Impetus Gurukul

Let α be a positive real number. Let f : R → R and g : (α, ∞) → R be the f…

1.4K viewsApr 27, 2025

YouTubeOm Sharma Sir : Pearson Author | IIT Bombay

Let the function f: [1,∞) → R be defined by f(t) = {(〖(-1)〗^(n+1) 2i…

1.2K viewsApr 3, 2025

YouTubeMaths magically delivered

Let f:R→R be twice differentiable function such that f(x)m^2-2" " m⋅f…

553 views4 months ago

YouTubeMath Master - Impetus Gurukul

Let the range of the function f(x) = 6+ 16cosx.cos((π/3-x).cos((π/3+x).…

489 viewsMar 29, 2025

YouTubeDS Negi Maths (NITian)

Assertion (A): Let A = {x ∈ R : -1 ≤ x ≤ 1}.If f: A →A be defined as f(x) = …

848 views6 months ago

YouTubeMathematics Untold

Let a twice differentiable function f(x) on R such that f(3)

4.2K views2 months ago

YouTubeBrilliant Pala - JEE Main & Adv

Let f(x)=[x]^2-[x+3]-3,x∈R where [∙] is the greatest integer function. Th…

938 views4 months ago

YouTubeMaths magically delivered

Let α be a positive real number. Let f: R→R and g: (α,∞)→R be the fun…

170 viewsApr 24, 2025

YouTubeMaths magically delivered

Let a∈R and A be a matrix of order 3×3 such that de||JEE Main 2025 (…

343 views8 months ago

YouTubeDK Academy JEE

Let f:R-{0} → R be a function such that f(x) − 6f (1/x) =35/3x −5/2. If th…

1.4K viewsMar 28, 2025

YouTubeDS Negi Maths (NITian)

Let f be a differentiable function satisfying f(x)=1-2x+∫0^x e^((x-t)) f…

1.1K views3 months ago

YouTubeMaths magically delivered

Let ψ_1:[0,∞)→R, ψ_2:[0,∞)→R, f:[0,∞)→R and g:[0,∞)→R be functi…

930 viewsMay 1, 2025

YouTubeMaths magically delivered

Let the range of the function f(x) = 1/( 2+sin3x+cos3x) x ∈ R be [a,b]. t…

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YouTubeDS Negi Maths (NITian)

For any real numbers α and β, let y_(α,β) (x) , x ∈ R, be the solution …

311 viewsApr 29, 2025

YouTubeMaths magically delivered

Let the range of the function f(x) = 6 + 16 cosx cos(π/3-x) cos(π/3+x) si…

590 viewsMar 23, 2025

YouTubeEasy Math 4 JEE

Let f:R→R be a twice differentiable function such that the quadratic e…

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YouTubeMaths magically delivered

Let a,b∈R be such that the equation ax^2-2bx+15=0 has a repeated roo…

578 views9 months ago

YouTubeMath Master - Impetus Gurukul

Let f : R-{0} →R be function such that f(x) – 6f(1/x) = (35/3x) - (5/2).If l…

527 viewsMar 23, 2025

YouTubeEasy Math 4 JEE

Let a ⃗=i ˆ+αj ˆ+βk ˆ,α,β∈R. Let a vector b ⃗ be such that the angle b…

142 views6 months ago

YouTubeMaths magically delivered

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