KCET · Maths · Differential Equations
Write the set builder form \( A=\{-1,1\}: \)
- A \( A=\{x: x \) is a real number \( \} \)
- B \( A=\{x: x \) is an integer \( \} \)
- C \( A=\left\{x: x\right. \) is a root of the equation \( \left.x^{2}=1\right\} \)
- D \( A=\left\{x: x\right. \) is a root of the equation \( \left.x^{2}+1=0\right\} \)
Answer & Solution
Correct Answer
(C) \( A=\left\{x: x\right. \) is a root of the equation \( \left.x^{2}=1\right\} \)
Step-by-step Solution
Detailed explanation
Given that, \(A=-\{1,1\}\)
From option \((3), x^{2}=1 \Rightarrow x=\pm 1\)
Therefore, \(A=\left\{x: x\right.\) is a root of the equation \(\left.x^{2}=1\right\}\)
From option \((3), x^{2}=1 \Rightarrow x=\pm 1\)
Therefore, \(A=\left\{x: x\right.\) is a root of the equation \(\left.x^{2}=1\right\}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \( |x+5| \geq 10 \) thenKCET 2018 Easy
- If \( y=e^{\sin ^{-1}\left(t^{2}-1\right)} \& x=e^{\sec ^{-1}\left(\frac{1}{t^{2}-1}\right)} \) then \( \frac{d y}{d x} \) is equal toKCET 2016 Hard
- If \( \sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{2} \), then \( x^{2} \) is equal toKCET 2016 Medium
- If \(\sec ^{-1}\left(\frac{1+x}{1-y}\right)=a\), then \(\frac{d y}{d x}\) isKCET 2007 Medium
- The area of the region bounded by the curve \(y^2 = x^3\), the \(y\)-axis and the lines \(y = 1\) and \(y = 8\) isKCET 2026 Easy
- If \(f(x)=x e^{x(1-x)}\), then \(f(x)\) isKCET 2024 Easy
More PYQs from KCET
- If \( A=\left[\begin{array}{cc}\cos 2 \theta & -\sin 2 \theta \\ \sin 2 \theta & \cos 2 \theta\end{array}\right] \) and \( A+A^{T}=I \),
where \( \mathrm{I} \) is the unit matrix of \( 2 \times 2 \& \mathrm{~A}^{\mathrm{T}} \) is the transpose of \( \mathrm{A} \), then the value of \( \theta \) is equal toKCET 2016 Hard - The photoelectric work function for photo metal is 2.4 eV . Among the four wavelengths, the wavelength of light for which photoemission does not take place isKCET 2024 Easy
- Masses of three wires of copper are in the ratio of \(1: 3: 5\) and their lengths are in the ratio of \(5: 3: 1\). The ratio of their electrical resistances isKCET 2013 Easy
- The correct IUPAC name of
KCET 2021 Easy - The area of the region bounded by the curve \( y=\cos x \) between \( x=0 \) and \( x=\pi \) isKCET 2018 Easy
- The value of \( \int \frac{e^{x}\left(x^{2} \tan ^{-1} x+\tan ^{-1} x+1\right)}{x^{2}+1} d x \) is equal toKCET 2016 Easy