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List of top Mathematics Questions on Relations and functions asked in WBJEE

Let f:[1,3]\(\rightarrow\)R be continuous and be derivable in (1,3) and f'(x)=[f(x)]2+4∀x∈(1,3). Then
  • WBJEE - 2023
  • WBJEE
  • Mathematics
  • Relations and functions
Let $R$ and $S$ be two equivalence relations on a non-void set $A$. Then
  • WBJEE - 2022
  • WBJEE
  • Mathematics
  • Relations and functions
Let S, T, U be three non-void sets and f : S $\to$ T,g : T $\to$ U is surjective. Then
  • WBJEE - 2019
  • WBJEE
  • Mathematics
  • Relations and functions
Let $X_{n}=\left\{z=x+i y:|z|^{2} \leq \frac{1}{n}\right\}$ for all integers $n \geq 1$. Then, $\overset{\infty}{\underset{n=1}{\cap}}$ is
  • WBJEE - 2014
  • WBJEE
  • Mathematics
  • Relations and functions
If log3 x + log3 y = 2 + log3 2 and log3 (x + y) = 2, then
  • WBJEE
  • Mathematics
  • Relations and functions
If a point P is equidistant from A(1, 3), B(-3, 5) and C(5, -1), then PA is equal to
  • WBJEE
  • Mathematics
  • Relations and functions
If sin⁡θ=2t1+t2 and θ lies in the second quadrant, then cos⁡θ is equal to
  • WBJEE
  • Mathematics
  • Relations and functions
ABCD is a parallelogram. If P and Q are the respective midpoints ofBC→ and AD→, then ,AB→+DC→ is equal to
  • WBJEE
  • Mathematics
  • Relations and functions
The curve represented by the equation 4x2 + 16y2 - 24x - 32y - 12 = 0 is
  • WBJEE
  • Mathematics
  • Relations and functions
The derivative of f(tan x) w.r.t. g(sec x) at x = π/4 where f`(1) = 2 and g`(√2) =4, is
  • WBJEE
  • Mathematics
  • Relations and functions