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If \[A = \begin{bmatrix}2 & - 3 & 5 \\ 3 & 2 & - 4 \\ 1 & 1 & - 2\end{bmatrix}\], find A−1 and hence solve the system of linear equations 2x − 3y + 5z = 11, 3x + 2y − 4z = −5, x + y + 2z = −3

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

Find A−1, if \[A = \begin{bmatrix}1 & 2 & 5 \\ 1 & - 1 & - 1 \\ 2 & 3 & - 1\end{bmatrix}\] . Hence solve the following system of linear equations:x + 2y + 5z = 10, x − y − z = −2, 2x + 3y − z = −11

[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined

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An amount of Rs 10,000 is put into three investments at the rate of 10, 12 and 15% per annum. The combined income is Rs 1310 and the combined income of first and  second investment is Rs 190 short of the income from the third. Find the investment in each using matrix method.

 
[4] Determinants
Chapter: [4] Determinants
Concept: undefined >> undefined
\[\int\sqrt{3 + 2x - x^2} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{x^2 + x + 1} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{x - x^2} dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{1 + x - 2 x^2} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\cos x \sqrt{4 - \sin^2 x}\text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \sqrt{e^{2x} + 1} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{9 - x^2}\text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{16 x^2 + 25} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{4 x^2 - 5}\text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\sqrt{2 x^2 + 3x + 4} \text{ dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int\frac{1 + \cot x}{x + \log \sin x} \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int x^2 \sin x^3 \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int \tan^3 x \sec^2 x \text{ dx }\].

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int e^x \left( \sin x + \cos x \right) \text{ dx}\]

 

[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int \tan^6 x \sec^2 x \text{ dx }\] .
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int\frac{\cos x}{3 + 2 \sin x}\text{  dx}\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined

Write a value of

\[\int e^x \sec x \left( 1 + \tan x \right) \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
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CBSE Arts (English Medium) इयत्ता १२ Question Bank Solutions
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Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ English Elective - NCERT
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Entrepreneurship
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Geography
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Hindi (Core)
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Hindi (Elective)
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ History
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Informatics Practices
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Mathematics
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Physical Education
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Political Science
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Psychology
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Sanskrit (Core)
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Sanskrit (Elective)
Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Sociology
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