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PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

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Mathematics
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(vii)  find the equation of the hyperbola satisfying the given condition:

foci (± 4, 0), the latus-rectum = 12

[10] Conic Sections
Chapter: [10] Conic Sections
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin x = \frac{1}{2}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

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Find the general solution of the following equation:

\[\cos x = - \frac{\sqrt{3}}{2}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[cosec x = - \sqrt{2}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sec x = \sqrt{2}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\tan x = - \frac{1}{\sqrt{3}}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sqrt{3} \sec x = 2\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin 2x = \frac{\sqrt{3}}{2}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\cos 3x = \frac{1}{2}\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin 9x = \sin x\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin 2x = \cos 3x\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\tan x + \cot 2x = 0\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\tan 3x = \cot x\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\tan 2x \tan x = 1\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\tan mx + \cot nx = 0\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\tan px = \cot qx\]

 

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin 2x + \cos x = 0\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin x = \tan x\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Find the general solution of the following equation:

\[\sin 3x + \cos 2x = 0\]
[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined

Solve the following equation:
\[\sin^2 x - \cos x = \frac{1}{4}\]

[3] Trigonometric Functions
Chapter: [3] Trigonometric Functions
Concept: undefined >> undefined
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