MHT CET · Maths · Functions
Find the function \(f\left(x_{1}, x_{2}, x_{3}\right)\) satisfying \(f\left(x_{1}, x_{2}, x_{3}\right)=1\) at \(x_{1}=1, x_{2}=x_{3}=0\)
- A \(x_{1}^{\prime} \cdot x_{2}\)
- B \(x_{1} \cdot x_{2}{ }^{\prime}\)
- C \(\left(x_{1}+x_{2}+x_{3}\right)^{\prime} \cdot x_{2}\)
- D \(\left(x_{1}^{\prime}+x_{3}\right) \cdot x_{3}\)
Answer & Solution
Correct Answer
(B) \(x_{1} \cdot x_{2}{ }^{\prime}\)
Step-by-step Solution
Detailed explanation
Given, \(x_{1}=1, x_{2}=x_{3}=0\)
\(x_{1} \cdot x_{2}^{\prime}=1(0)^{\prime}=1\)
\(x_{1} \cdot x_{2}^{\prime}=1(0)^{\prime}=1\)
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 \(f(x)=\frac{x}{8}\), if \(0 < x < 4\)
\(=0\), otherwise is probability density function (p.d.f) of c.r.v. \(X\) and \(F(x)\) is c.d.f. associated with \(f(x)\), then \(\mathrm{F}(0 \cdot 5)=\)MHT CET 2020 Easy - If \(\mathrm{I}=\int \frac{\mathrm{d} x}{\sin (x-\mathrm{a}) \sin (x-\mathrm{b})}\), then \(\mathrm{I}\) is given byMHT CET 2023 Medium
- The negation of the statement 'He is poor but happy' isMHT CET 2020 Easy
- If in \(\triangle \mathrm{ABC}\), with usual notations, \(a \cdot \cos ^2 \frac{C}{2}+c \cos ^2 \frac{A}{2}=\frac{3 b}{2}\), thenMHT CET 2023 Medium
- The lines \(\frac{x-0}{1}=\frac{y-2}{2}=\frac{z+3}{\lambda}\) and \(\frac{x-2}{2}=\frac{y-6}{3}=\frac{z-3}{\lambda}\) are coplanar and \(p\) is the plane containing these lines, then which of following point lie on the plane for all values of (\(\lambda\)).MHT CET 2025 Medium
- The area of the triangle whose vertices are \(i, \omega\) and \(\omega^2\) is (Where \(\omega\) is a complex cube root of unity other than \(1, \mathrm{i}\) is an imaginary number) ______ sq.unitsMHT CET 2025 Medium
More PYQs from MHT CET
- During stressful conditions the animals which are simply 'Conformers'_________.MHT CET 2022 Medium
- A given habitat has enough resources to support a maximum possible number of a species. This limit beyond which no growth is possible is called its _________ for that species.MHT CET 2021 Easy
- In hydrogen atoms, radius of the smallest orbit of the electron is \(a_0\), the radius of the third orbit isMHT CET 2022 Easy
- If is non-singular matrix and thenMHT CET 2019 Easy
- Ethoxy benzene on reaction with hot and concentrated \(\mathrm{HI}\) formsMHT CET 2021 Medium
- Which of the following reactions is used for the conversion of alkyl chloride to alkyl iodide?MHT CET 2023 Easy