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Arts (English Medium) इयत्ता १२ - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Determine the area under the curve y = `sqrt("a"^2 - x^2)` included between the lines x = 0 and x = a.

[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined

tanx is periodic with period ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

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The period of the function f(x) = tan3x is ____________.

[2] Inverse Trigonometric Functions
Chapter: [2] Inverse Trigonometric Functions
Concept: undefined >> undefined

The degree of the differential equation `(1 + "dy"/"dx")^3 = (("d"^2y)/("d"x^2))^2` is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The degree of the differential equation `("d"^2y)/("d"x^2) + 3("dy"/"dx")^2 = x^2 log(("d"^2y)/("d"x^2))` is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The order and degree of the differential equation `[1 + ("dy"/"dx")^2]^2 = ("d"^2y)/("d"x^2)` respectively, are ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The order of the differential equation of all circles of given radius a is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

Order of the differential equation representing the family of parabolas y2 = 4ax is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The degree of the differential equation `("dy"/"dx")^2 + (("d"^2y)/("d"x^2))^2` = 0 is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

Order of the differential equation representing the family of ellipses having centre at origin and foci on x-axis is two.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

Degree of the differential equation `sqrt(1 + ("d"^2y)/("d"x^2)) = x + "dy"/"dx"` is not defined.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

`"A" = abs ((1/"a", "a"^2, "bc"),(1/"b", "b"^2, "ac"),(1/"c", "c"^2, "ab"))` is equal to ____________.

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

If A, B, and C be the three square matrices such that A = B + C, then Det A is equal to

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

`abs ((1 + "a", "b", "c"),("a", 1 + "b", "c"),("a", "b", 1 + "c")) =` ____________

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

The value of the determinant `abs ((1,0,0),(2, "cos x", "sin x"),(3, "sin x", "cos x"))` is ____________.

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

If A = `[(1,0,0),(2,"cos x","sin x"),(3,"sin x", "-cos x")],` then det. A is equal to ____________.

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

The degree of the differential equation `(("d"^2y)/("d"x^2))^2 + (("d"y)/("d"x))^2 = xsin(("d"y)/("d"x))` is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The degree of the differential equation `[1 + (("d"y)/("d"x))^2]^(3/2) = ("d"^2y)/("d"x^2)` is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The order and degree of the differential equation `("d"^2y)/("d"x^2) + (("d"y)/("d"x))^(1/4) + x^(1/5)` = 0, respectively, are ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined

The degree of the differential equation `("d"^2y)/("d"x^2) + (("d"y)/("d"x))^3 + 6y^5` = 0 is ______.

[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
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Question Bank Solutions for CBSE Arts (English Medium) इयत्ता १२ Sanskrit (Elective)
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