MHT CET · Maths · Sequences and Series
If \(\frac{1}{4}, \mathrm{a}, \mathrm{b}, \frac{1}{19}\) form a H.P. then the values of a and \(\mathrm{b}\) are respectively
- A \(\frac{1}{12}, \frac{1}{15}\)
- B \(\frac{1}{5}, \frac{1}{7}\)
- C \(\frac{1}{9}, \frac{1}{14}\)
- D \(\frac{1}{11}, \frac{1}{17}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{9}, \frac{1}{14}\)
Step-by-step Solution
Detailed explanation
\(\frac{1}{4}, a, b, \frac{1}{19} \longrightarrow\) H.P.
\(4, \frac{1}{a}, \frac{1}{b}, 19 \rightarrow\) AP
\(a=\frac{1}{9}, b=\frac{1}{14}\)
\(4, \frac{1}{a}, \frac{1}{b}, 19 \rightarrow\) AP
\(a=\frac{1}{9}, b=\frac{1}{14}\)
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
- The number of integral values of k for which the equation \(7 \cos x+5 \sin x=2 \mathrm{k}+1\) has a solution, isMHT CET 2024 Hard
- The 1. Order and Degree of the differential equation \(\sqrt{\frac{\mathrm{dy}}{\mathrm{d} x}}-4 \frac{\mathrm{dy}}{\mathrm{d} x}-7 x=0\) is respectivelyMHT CET 2025 Easy
- Let \(\mathrm{a}, \mathrm{b}, \mathrm{c}\) be distinct non-negative umbers. If the vectors \(a \hat{i}+a \hat{j}+c \hat{k}, \hat{i}+\hat{k}\) and \(c \hat{i}+c \hat{j}+b \hat{k}\) lie in a plane, then c isMHT CET 2022 Easy
- If the function \(f(x)=\frac{\log 10+\log (0.1+2 x)}{2 x}\) if \(x \neq 0\)
\(=k \quad\) if \(x=0\)
is continuous at \(x=0\), then \(k+2=\)MHT CET 2020 Easy - If \(n(X)=700, n(A)=200, n(B)=300,\) \(n(A \cap B)=100\), where \(X\) is universal set and \(A\) and \(\mathrm{B}\) are subsets of \(\mathrm{X}\), then \(\mathrm{n}\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)=\)MHT CET 2020 Medium
- If are mutually perpendicular vectors having magnitude respectively, thenMHT CET 2018 Medium
More PYQs from MHT CET
- A capacitor is charged by a battery and energy stored is 'U'. Now the battery is
removed and the distance between plates is increased to four times. The energy
stored becomesMHT CET 2020 Medium - Transcription process in eukaryotes occurs during i and ii phases of cell cycle.MHT CET 2024 Easy
- The equivalent capacitance between points \(\mathrm{A}\) and \(\mathrm{B}\) as shown in figure is
MHT CET 2022 Easy - Capacity of a capacitor is \(48 \mu \mathrm{F}\). When it is charged from \(0.1 \mathrm{C}\) to \(0.5 \mathrm{C}\), change in the energy stored isMHT CET 2010 Medium
- Calculate mass of 0.25 mole of iron (molar mass \(=56 \mathrm{~g} \mathrm{~mol}^{-1}\) )MHT CET 2025 Easy
- A galvanometer of resistance \(20 \Omega\) gives a deflection of 5 divisions when \(1 \mathrm{~mA}\) current flows through it. The galvanometer scale has 50 divisions. To convert the galvanometer into a voltmeter of range 25 volt, we should connect a resistance ofMHT CET 2023 Hard