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Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 3x² −1, x = -1/√3 , 2/√3

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 5x – π, x = 4/5

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = lx + m, x = −m/l

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = x², x = 0

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = x² −1, x=1, −1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) =2x + 1, x = 1/2

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest... View Article

Verify: x^{3 – y³ = (x – y)(x² + xy + y²)}

Answer: Given x3 - y3 = (x - y)(x2 + xy + y2) In the given equation LHS = x3 - y3 RHS = (x - y)(x2 + xy + y2) Consider LHS x3 - y3 We know... View Article

Verify: x³ + y³ = (x + y)(x² – xy + y²)

Answer: Given x3 + y3 = (x + y)(x2 - xy + y2) (x + y)3 = x3 + y3 + 3xy(x + y) In the given equation LHS = x3 + y3 RHS = (x + y)(x2 - xy + y2)... View Article

Wastewater released by houses is called ____________.

Answer: Wastewater released by houses is called sewage. Sewage is actually the wastewater that is released from houses, hospitals, industries,... View Article

We can see a non-luminous object when light: (a) emitted by the object falls on the eye. (b) is reflected from the object towards our eye. (c) completely passes through the object. (d) gets completely absorbed by the object.

Answer: (b) is reflected from the object towards our eye. We can see a non-luminous object when light reflected by the object enters our eyes.... View Article

We have a stringed musical instrument. The string is plucked in the middle first with a force of greater magnitude and then with a force of smaller magnitude. In which case would the instrument produce a louder sound?

Answer: The amplitude of vibration determines the loudness of the sound. When a string is plucked with greater force amplitude of string will be... View Article

We have learnt that vibration is necessary for producing sound. Explain why the sound produced by every vibrating body cannot be heard by us?

Answer: Because the range of frequency for each vibrating body varies. However, because humans can hear vibrations in the range of 20 Hz to 20000... View Article

We have two identical metal sheets. One of them is rubbed with sandpaper and the other with ordinary paper. The one rubbed with sandpaper shines more than the other. Give reason.

Answer: Frictional force refers to the force generated by two surfaces that contact and slide against each other. Friction is caused due to the... View Article

What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume : 12ky² + 8ky – 20k

Answer: The cuboid shape is a closed 3d figure that is enclosed by rectangular faces that means plane regions of rectangles. A cuboid has six... View Article

What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume : 3x² – 12x

Answer: The cuboid shape is a closed 3d figure that is enclosed by rectangular faces that means plane regions of rectangles. A cuboid has six... View Article

What Happens To Light When It Gets Dispersed? Give An Example.

The splitting of white light into its constituent colours is called dispersion. During dispersion, the white light is spread into its full... View Article

What happens when (a) Dilute sulphuric acid is poured on a copper plate? (b) Iron nails are placed in a copper sulphate solution? Write word equations of the reactions involved.

Answer: (a) No reaction occurs when dilute sulphuric acid is poured on a copper plate. However, when concentrated sulphuric acid is poured on a... View Article

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Archives

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 3x² −1, x = -1/√3 , 2/√3

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = 5x – π, x = 4/5

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = lx + m, x = −m/l

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = x², x = 0

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) = x² −1, x=1, −1

Verify whether the following are zeroes of the polynomial, indicated against them: p(x) =2x + 1, x = 1/2

Verify: x^{3 – y³ = (x – y)(x² + xy + y²)}

Verify: x³ + y³ = (x + y)(x² – xy + y²)

Wastewater released by houses is called ____________.

We can see a non-luminous object when light: (a) emitted by the object falls on the eye. (b) is reflected from the object towards our eye. (c) completely passes through the object. (d) gets completely absorbed by the object.

We have a stringed musical instrument. The string is plucked in the middle first with a force of greater magnitude and then with a force of smaller magnitude. In which case would the instrument produce a louder sound?

We have learnt that vibration is necessary for producing sound. Explain why the sound produced by every vibrating body cannot be heard by us?

We have two identical metal sheets. One of them is rubbed with sandpaper and the other with ordinary paper. The one rubbed with sandpaper shines more than the other. Give reason.

What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume : 12ky² + 8ky – 20k

What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume : 3x² – 12x

What Happens To Light When It Gets Dispersed? Give An Example.

What happens when (a) Dilute sulphuric acid is poured on a copper plate? (b) Iron nails are placed in a copper sulphate solution? Write word equations of the reactions involved.

What is sewage? Explain why it is harmful to discharge untreated sewage into rivers or seas.

What kind of lens is there in our eyes? Where does it form the image of an object?

What planning is required in advance to deal with the situation created by a cyclone?

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