For $0 \leq p \leq 1$ and for any positive $a, b$, let $I(p)=(a+b)^{p}$ and $J(p)=a^{p}+b^{p}$. Then:

  • A
    $I(p) > J(p)$
  • B
    $I(p) \leq J(p)$
  • C
    $I(p) < J(p)$ in $[0, p/2]$ and $I(p) > J(p)$ in $[p/2, \infty)$
  • D
    $I(p) < J(p)$ in $[p/2, \infty)$ and $J(p) < I(p)$ in $[0, p/2]$

Explore More

Similar Questions

The set of all values of $x$ which satisfy both the inequations $x^2-1 \leq 0$ and $x^2-x-2 \geq 0$ simultaneously is

If $(2k-1)x^2 - 2(3k-2)x + 4k > 0$ for every $x \in R$,then the sum of all possible integral values of $k$ is

If $[x]$ denotes the greatest integer not exceeding $x$,then the values of $x$ satisfying $[x]^2-7[x]+12 \leq 0$ are

If $\alpha_1, \alpha_2$ and $\alpha_3$ are the roots of $x^3+3x+2=0$,then $\alpha_1^5+\alpha_2^5+\alpha_3^5=$

Given that $x$ is a real number satisfying $\frac{5x^{2}-26x+5}{3x^{2}-10x+3} < 0$, then

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo