NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.1

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.1 is based on the introductory concepts of Sequence and Series.

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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.
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
Let $ A_1 $: People with good health,
$ A_2 $: People with average health,
and $ A_3 $: People with poor health.
During a pandemic, the data expressed that the chances of people contracting the disease from category $ A_1, A_2 $ and $ A_3 $ are 25%, 35% and 50%, respectively.
Based upon the above information, answer the following questions:
(i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
(ii) Given that the person has not contracted the disease, what is the probability that the person is from category $ A_2 $?
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2.
The area of the shaded region (figure) represented by the curves $ y = x^2 $, $ 0 \leq x \leq 2 $, and the y-axis is given by:
- $ \int_0^2 x^2 \, dx $
- $ \int_0^2 \sqrt{y} \, dy $
- $ \int_0^4 x^2 \, dx $
- $ \int_0^4 \sqrt{y} \, dy $
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3.
If $ f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} $ is continuous at $ x = 0 $, then the value of 'a' is :
- 1
- -1
- 0
- $ \pm 1 $
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4.
Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the $ x $-axis, and the ordinates $ x = -2 $ and $ x = 2 $.
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5.
Solve the differential equation $ (x - \sin y) \, dy + (\tan y) \, dx = 0 $, given $ y(0) = 0 $.
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6.
The given graph illustrates:
- $y = \tan^{-1} x$
- $y = \csc^{-1} x$
- $y = \cot^{-1} x$
- $y = \sec^{-1} x$
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