Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Functions question

2025 · 2 Apr · Shift 2 · Q36
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2025 · 2 Apr · Shift 2 · Q36

Functions question

2025 · 2 Apr · Shift 2 · Q36

JEE MainMathematicsFunctionsMCQ+4 / −1
If the domain of the function f(x)=110+3x−x2+1x+∣x∣f(x)=\frac{1}{\sqrt{10+3 x-x^2}}+\frac{1}{\sqrt{x+|x|}}f(x)=10+3x−x2​1​+x+∣x∣​1​ is (a,b)(a, b)(a,b), then (1+a)2+b2(1+a)^2+b^2(1+a)2+b2 is equal to :
  1. A
    29
  2. B
    30
  3. C
    25
  4. D
    26
Next

More from Functions

  •  If the domain of the function f(x)=loge​(5+4x2x−3​)+sin−1(2−x4+3x​) is [α,β), then α2+4β is equal to 2025 · MCQ
  • Let f be a function such that f(x)+3f(x24​)=4x,xeq0. Then f(3)+f(8) is equal to2025 · MCQ
  • If the domain of the function f(x)=log7​(1−log4​(x2−9x+18)) is (α,β)∪(γ,o), then α+β+γ+o^ is equal to2025 · MCQ
  • Let f,g:(1,∞)→R be defined as f(x)=5x+22x+3​ and g(x)=1−x2−3x​. If the range of the function fog: [2,4]→R is [α,β], then β−α1​ is…2025 · MCQ
  • Let the domains of the functions f(x)=log4​log3​log7​(8−log2​(x2+4x+5)) and g(x)=sin−1(x−27x+10​) be (α,β) and [γ,δ], respectively. Then α2+β2+γ2+δ2…2025 · MCQ
  • If the range of the function f(x)=x2−3x+25−x​, xeq1,2, is (−∞,α]∪[β,∞), then α2+β2 is equal to :2025 · MCQ
  • Let the domain of the function f(x)=cos−1(3x−74x+5​) be [α,β] and the domain of g(x)=log2​(2−6log27​(2x+5)) be (γ,δ). Then ∣7(α+β)+4(γ+δ)∣ is…2025 · Numerical
  • Let A={1,2,3,4} and B={1,4,9,16}. Then the number of many-one functions f:A→B such that 1∈f( A) is equal to :2025 · MCQ