MHT CET · Maths · Functions
If and then k =
- A -9
- B 18
- C
- D 9
Answer & Solution
Correct Answer
(D) 9
Step-by-step Solution
Detailed explanation
We have,
Since,
Since,
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
- A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in the open air loses half its moisture during the first hour, then the time t , in which \(99 \%\) of the moisture will be lost, isMHT CET 2024 Hard
- The set of points where the function \(f(x)=|x-1| e^{x}\) is differentiable, isMHT CET 2007 Medium
- Let \(\mathrm{A}=\lim _{\mathrm{x} \rightarrow 0^{+}}\left(1+\tan ^2 \sqrt{x}\right)^{\frac{1}{2 x}}\), then \(\log _{\mathrm{e}} \mathrm{A}=\)MHT CET 2025 Medium
- The angle between the lines \(\frac{x-1}{4}=\frac{y-3}{1}=\frac{z}{8}\) and \(\frac{x-2}{2}=\frac{y+1}{2}=\frac{z-4}{1}\) isMHT CET 2020 Easy
- If \(\tan ^{-1} x+\tan ^{-1} y+\tan ^{-1} z=\frac{\pi}{2},x, y, z>0, x y < 1\), then the value of
\(x y+y z+z x=\)MHT CET 2020 Hard - Let \(a, b \in(a \neq 0)\). If the function \(f\) is defined as
\(f(x)=\left\{\begin{array}{cc}\frac{2 x^2}{\mathrm{a}} & , 0 \leq x \lt 1 \ \mathrm{a} & , 1 \leq x \lt \sqrt{2} \ \frac{2 \mathrm{~b}^2-4 \mathrm{~b}}{x} ,\end{array}\right.\) \( \sqrt{2} \leq x \lt \infty\)
is continuous in the interval \([0, \infty)\), then an ordered pair \((\mathrm{a}, \mathrm{b})\) isMHT CET 2024 Medium
More PYQs from MHT CET
- In meter bridge experiment, null point was obtained at a distance ' \(l\) ' from left end. The values of resistances in the left and right gap are doubled and then interchanged. The new position of the null point isMHT CET 2023 Medium
- Mean and variance of six observations are 6 and 12 respectively. If each observation is multiplied by 3 , then new variance of the resulting observations isMHT CET 2024 Medium
- A needle is \(7 \mathrm{~cm}\) long. Assuming that the needle is not wetted by water, what is the weight of the needle, so that floats on water?
\(\left[\mathrm{T}=\text { surface tension of water }=70 \frac{\mathrm{dyne}}{\mathrm{cm}}\right]\) [acceleration due to gravity \(=980 \mathrm{~cm} \mathrm{~s}^{-2}\) ]MHT CET 2021 Easy - The number of ways in which 8 different pearls can be arranged to from a necklace isMHT CET 2021 Easy
- In an a.c. circuit the instantaneous current and emf are represented as \(I=I_0, \sin [\omega t-\pi / 6]\) and \(\mathrm{E}=\mathrm{E}_0 \sin [\omega \mathrm{t}+\pi / 3]\) respectively. The voltage leads the current byMHT CET 2023 Easy
- \(\mathrm{S}_1:\) If -7 is an integer, the \(\sqrt{-7}\) is a complex number
\(\mathrm{S}_2:-7\) is not an integer or \(\sqrt{-7}\) is a complex numberMHT CET 2021 Easy