Let \( R=\{P, Q) \mid P \) and \( Q \) are at the same distance from the origin \( \} \) be a re... VIDEO
Let \( R=\{P, Q) \mid P \) and \( Q \) are at the same distance from the origin \( \} \) be a relation, then the equivalence class of \( (1,-1) \) is the sethttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 If \( \cot ^{-1}\left(\frac{n}{\pi}\right)\left(\frac{\pi}{6}\right), n \) being a natural numbe... 2023-06-08 The function \( f(x)=2|x|+|x+2|-\|x+2|-2| x\| \) has a local minimum or a local maximum at \( x=... 2023-06-08 The domain of the function \( \cos ^{-1}\left(\frac{2 \sin ^{-1}\left(\frac{1}{4 x^{2}-1}\right)... 2023-06-08 If \( f(x)=\sin \log \left(\frac{\sqrt{4-x^{2}}}{1-x}\right) \), then the domain of \( f(x) \) is 2023-06-08 Let \( f(x)=\sin \left(\frac{\pi}{6} \sin \left(\frac{\pi}{2} \sin x\right)\right) \) for all \(... 2023-06-08 Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \).
If \( g(2)=\lim _{x \r... 2023-06-08 If the function \( f: R \rightarrow R \) is defined by \( f(\mathrm{x})=|x|(x-\sin x) \), then w... 2023-06-08 Let \( A=\{1,2,3 \ldots ., 10\} \) and \( f: A \rightarrow A \) be defined as \( f(k)=\left\{\be... 2023-06-08 Let \( f, g: N \rightarrow N \) such that \( f(n+1)=f(n)+f(1) \forall n \in N \) and \( g \) be ... 2023-06-08 A function \( f(x) \) is given by \( f(x)=\frac{5^{x}}{5^{x}+5} \), then the sum of the series \... 2023-06-08 Let \( R=\{P, Q) \mid P \) and \( Q \) are at the same distance from the origin \( \} \) be a re... 2023-06-08 Number of non-negative integers in the domain of function in the interval \( x \in(0,4) \)
\[
f(... 2023-06-08 Let \( f: R \rightarrow R \) be defined as \( f(x)=2 x-1 \) and \( g: R-\{1\} \rightarrow R-\{1\... 2023-06-08 Let \( x \) denote the total number of one-one functions from a set \( A \) with 3 elements to a... 2023-06-08 Let \( c, k \in R \). If \( f(x)=(c+1) x^{2}+\left(1-c^{2}\right) x+2 k \) and \( f(x \) \( +y)=... 2023-06-08 If \( a+\alpha=1, b+\beta=2 \) and \( a f(x)+\alpha f\left(\frac{1}{x}\right)=b x+\frac{\beta}{x... 2023-06-08 Let \( S=\{1,2,3,4\} \). Then the number of elements in the set \( \{f: S \times S \rightarrow S... 2023-06-08 Let \( f(x) \) and \( g(x) \) be two real polynomials of degree 2 and 1 respectively. If \( f(g(... 2023-06-08 Let \( f: R-\{3\} \rightarrow R-\{1\} \) be defined by \( f(x)=\frac{x-2}{x-3} \).
Let \( g: R \... 2023-06-08 The number of roots of the equation, \( (81)^{\sin ^{2} x}+(81)^{\cos ^{2} x} \) \( =30 \) in th... 2023-06-08 Let \( S=\{1,2,3,4,5,6,7,8,9,10\} \). Define
\[
f: S \rightarrow S \text { as } f(n)=\left\{\beg...
0