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Commerce (English Medium) Class 12 - CBSE Question Bank Solutions

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If A is a finite set containing n distinct elements, then the number of relations on A is equal to ____________.

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

Let A = {1, 2, 3}, then the domain of the relation R = {(1, 1), (2, 3), (2, 1)} defined on A is ____________.

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

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Let A = {1, 2, 3, 4, 5, 6} Which of the following partitions of A correspond to an equivalence relation on A?

[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined

A relation R on a non – empty set A is an equivalence relation if it is ____________.

[1] Relations and Functions
Chapter: [1] Relations and 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

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

Let f be a real valued function defined on (0, 1) ∪ (2, 4) such that f '(x) = 0 for every x, then ____________.

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined

In case of decreasing functions, slope of tangent and hence derivative is ____________.

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined

The function f (x) = 2 – 3 x is ____________.

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined

The function f(x) = x2 – 2x is increasing in the interval ____________.

[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
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