NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.3

Collegedunia Team Content Curator

Content Curator

Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.3 is based on the following concepts:

Geometric Progression (G. P.)

Relationship Between A.M. and G.M.

Download PDF NCERT Solutions for Class 11 Maths Chapter 9 Sequence and Series Exercise 9.3

Check out the solutions of Class 11 Maths NCERT solutions Chapter 9 Sequence and Series Exercise 9.3

Also check other Exercise Solutions of Class 11 Maths Chapter 9 Sequence and Series

Also check:

Important Chapter Related Links
Harmonic Mean	Sum of Squares	Difference between Sequence and Series
Summation Formula	Geometric Series Formula	Sum of Arithmetic Sequence Formula
Sum Of Cubes Formula	Arithmetic Mean Formula	Arithmetic Sequence Explicit Formula
Arithmetic Sequence Recursive Formula	Difference of Cubes Formula	Difference of Squares Formula
Fourier Series Formula	Infinite Geometric Series Formula	Infinite Series Formula
Taylor Series Formula	Prime Number Formula	Arithmetic Geometric Sequence
Arithmetic Progression (A.P.)	Geometric Progression (G. P.)	Geometric Mean (G.M.)

Also check:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Let $ 2x + 5y - 1 = 0 $ and $ 3x + 2y - 7 = 0 $ represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.
View Solution
2.
Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]
View Solution
3.
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.
View Solution
4.
Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.
View Solution
5.
If $ \mathbf{a} $ and $ \mathbf{b} $ are position vectors of two points $ P $ and $ Q $ respectively, then find the position vector of a point $ R $ in $ QP $ produced such that \[ QR = \frac{3}{2} QP. \]
View Solution
6.
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find $ A^{-1} $. Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]
View Solution

View All

Similar Mathematics Concepts

Sequence and Series: Types, Formulas & Examples

Geometric Mean: Formula, Properties, Applications & Examples

Geometric Progression: Types, Formula, Properties & Examples

Harmonic Mean: Definition, Formula, Weighted Harmonic Mean, Examples

Sum of Squares: Formula, Derivation & Examples

Geometric Series Formula Applications and Sample Questions

NCERT Solutions for class 11 Maths Chapter 9: Sequences and Series

Arithmetic Sequence Recursive Formula & Solved Examples

Relation Between AM, GM and HM: Formula, Derivation, Solved Questions

Important Questions for Class 11 Maths Chapter 9: Sequences and Series

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Sequence and Series: Types, Formulas & Examples

Measures of Dispersion: Types, Absolute & Relative measure

Events and their Types in Probability

Angle between two lines: Derivation, Types, Formulae

Mathematics: Latus rectum of Ellipse- Definition, Equation, Examples and Sample Questions

Pascal’s Triangle: Construction, Notation, Pattern, Properties

Ellipse: Standard Equation, Derivation & Formula

Circle: Definition, Equation and Segments

Geometric Progression: Definition, Sum of N Terms, Formula

Conic Sections: Formula, Equations & Examples

Parabola: Graph, General Equation, Formulae, Latus Rectum, Focal, Normal , Tangent, Sample Questions

Horizontal and Vertical Lines: Formula, Examples & Equations

Conic Sections: Parabola, Hyperbola, Ellipse, Circle

Eccentricity of Ellipse Formula, Definition, Derivation & Examples

Complex Numbers and Quadratic Equations

Real Valued Functions: Types, Operations & Examples

Latus Rectum of Parabola: Formula, Length & Derivation

Venn Diagrams: Symbols, Formula, Set Operations & Examples

Types of Events in Probability

Types of Sets: What is Set, Examples & Symbols

Mathematics NCERT Solutions

Factorial Formula: Calculation, Values, Application

Multiplication Rule of Probability: Proof and Solved Examples

Logarithms: Rules, Properties and Formula

Mathematical Logic: Conjunction, Disjunction and Negation

Value of Log 1: Logarithmic Functions, Value of In 1, Logarithmic Values

Solving Inequalities

Tautology: Operators, Logic Symbols, and Truth Table

Quotient Rule: Definition, Formula, Applications and Sample Questions

Conjugate of a Complex Number: Definition, Properties and Equations

Difference between Ln and Log: Definitions and Properties

You can also check

NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.3

CBSE CLASS XII Related Questions

1.
Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

2.
Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]

3.
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

4.
Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.

5.
If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

6.
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.3

CBSE CLASS XII Related Questions

1.Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

2. Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]

3.Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

4. Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.

5.If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

6.If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

2.
Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]

3.
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

4.
Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.

5.
If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

6.
If \[ A = \begin{bmatrix} 1 & 2 & 0 \\ -2 & -1 & -2 \\ 0 & -1 & 1 \end{bmatrix} \] then find \( A^{-1} \). Hence, solve the system of linear equations: \[ x - 2y = 10, \] \[ 2x - y - z = 8, \] \[ -2y + z = 7. \]