MCQ
$\cos ^{-1}(2 x-1)$ का प्रान्त है-
  • $[0,1]$
  • B
    $[-1,1)$
  • C
    $[-1,1]$
  • D
    $[0, \pi]$

Answer

Correct option: A.
$[0,1]$
(A) $[0,1]$
$\cos ^{-1}(2 x-1)$ परिभाषित होगा यदि $-1 \leq 2 x-1 \leq 1$
$\begin{array}{l}\Rightarrow 0 \leq 2 x \leq 2 \\ \Rightarrow 0 \leq x \leq 1 \\ \Rightarrow x \in[0,1]\end{array}$
अतः $\cos ^{-1}(2 x-1)$ का प्रान्त है : [0, 1]
अतः विकल्प (A) सही है।

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free