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HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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जो अंबरी उफळतां खुर लागलाहे।
तो चंद्रमा निज तनूवरि डाग लाहे।।

वरील काव्यपंक्तीतील अलंकार ओळखून लिहा.

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

न हे नयन, पाकळ्या उमलल्या सरोजांतील।

या वाक्यातील उपमेय ओळखा.

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

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निशिगंधासारखा निशिगंधच होय.

वरील विधानाचे उद्‌गारार्थी वाक्य ओळखून लिहा:

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

मुंगी उडाली आकाशी
तिने गिळिले सूर्यासी !

वरील काव्यपंक्तीतील अलंकार ओळखून लिहा.

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

‘आनंद’ या शब्दासाठी पाठात आलेली विशेषणे शोधा व लिहा.

...... ...... ...... ...... ......

[6] अतिरिक्त व्याकरण
Chapter: [6] अतिरिक्त व्याकरण
Concept: undefined >> undefined

व्याकरण.

खालील वाक्यांत योग्य विरामचिन्हांचा उपयोग करा.

खरं तर पहाटच त्यांना विचारत असते की मी येऊ का तुम्हांला भेटायला

[6] अतिरिक्त व्याकरण
Chapter: [6] अतिरिक्त व्याकरण
Concept: undefined >> undefined

व्याकरण.

खालील वाक्यांत योग्य विरामचिन्हांचा उपयोग करा.

निशिगंध म्हणजे निशिगंधच

[6] अतिरिक्त व्याकरण
Chapter: [6] अतिरिक्त व्याकरण
Concept: undefined >> undefined

Prove that:

`int_0^(2a)f(x)dx = int_0^af(x)dx + int_0^af(2a - x)dx`

[13] Differential Equations
Chapter: [13] Differential Equations
Concept: undefined >> undefined
Solve the differential equation \[\frac{dy}{dx} = e^{x + y} + x^2 e^y\].
[13] Differential Equations
Chapter: [13] Differential Equations
Concept: undefined >> undefined

(ey + 1) cos x dx + ey sin x dy = 0

[13] Differential Equations
Chapter: [13] Differential Equations
Concept: undefined >> undefined

Solve the following initial value problem:-

\[y' + y = e^x , y\left( 0 \right) = \frac{1}{2}\]

[13] Differential Equations
Chapter: [13] Differential Equations
Concept: undefined >> undefined

If xmyn = (x + y)m+n, prove that \[\frac{dy}{dx} = \frac{y}{x} .\]

[13] Differential Equations
Chapter: [13] Differential Equations
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

A = `[(1,0),(-1,3)]`, R1↔ R2

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

B = `[(1, -1, 3),(2, 5, 4)]`, R1→ R1 – R2

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

A = `[(5,4),(1,3)]`, C1↔ C2; B = `[(3,1),(4,5)]` R1↔ R2.
What do you observe?

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

A = `[(1,2,-1),(0,1,3)]`, 2C2

B = `[(1,0,2),(2,4,5)]`, −3R1

Find the addition of the two new matrices.

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

A = `[(1,-1,3),(2,1,0),(3,3,1)]`, 3R3 and then C3 + 2C2

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

A = `[(1,-1,3),(2,1,0),(3,3,1)]`, 3R3 and then C3 + 2C2

and A = `[(1,-1,3),(2,1,0),(3,3,1)]`, C3 + 2C2 and then 3R3
What do you conclude?

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

Use suitable transformation on `[(1,2),(3,4)]` to convert it into an upper triangular matrix.

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined

Apply the given elementary transformation of the following matrix.

Convert `[(1,-1),(2,3)]` into an identity matrix by suitable row transformations.

[2] Matrices
Chapter: [2] Matrices
Concept: undefined >> undefined
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