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English Medium Class 9 - CBSE Question Bank Solutions

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Classify the following as linear, quadratic and cubic polynomial:

7x3

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

If the length of the diagonal of a cube is `6sqrt(3)` cm, then the length of the edge of the cube is 3 cm.

[11] Surface Areas and Volumes
Chapter: [11] Surface Areas and Volumes
Concept: undefined >> undefined

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Can the experimental probability of an event be a negative number? If not, why?

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

Can the experimental probability of an event be greater than 1? Justify your answer.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be `1/2`. Is it correct? If not, write the correct one.  

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

In the following figure, O is the centre of the circle. Name all radii of the circle.

[9] Circles
Chapter: [9] Circles
Concept: undefined >> undefined

In the following figure, O is the centre of the circle. Shade sectors OAC and OPB.

[9] Circles
Chapter: [9] Circles
Concept: undefined >> undefined

Find the value of the polynomial 5x – 4x2 + 3 at x = 0.

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

Find p(0), p(1) and p(2) for the following polynomial:-

p(y) = y2 – y + 1

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

Find p(0), p(1) and p(2) for the following polynomial:-

p(t) = 2 + t + 2t2 – t3

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

Find p(0), p(1) and p(2) for the following polynomial:-

p(x) = x3

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

Find p(0), p(1) and p(2) for the following polynomial:-

p(x) = (x – 1) (x + 1)

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

Verify whether the following zeroes of the polynomial, indicated against them.

`p(x) = 3x + 1, x = -1/3`

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

Verify whether the following zeroes of the polynomial are indicated against them.

p(x) = 5x – π, `x = 4/5`

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

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = x2 – 1, x = 1, –1

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

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = (x + 1) (x – 2), x = – 1, 2

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

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = x2, x = 0

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

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = lx + m, `x = – m/l`

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

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = 3x2 – 1, x = `-1/sqrt3,2/sqrt3`

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

Verify whether the following zeroes of the polynomial, indicated against them.

p(x) = 2x + 1, `x = 1/2`

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