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Question

Assertion : A cone is a solid figure.

Reason : A cone is generated when rectangular sheet is rotated about its axis.

Which of the following is correct?


A

If both assertion and reason are true and reason is the correct explanation of assertion.

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B

If both assertion and reason are true but reason is not the correct explanation of assertion.

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C

If assertion is true but reason is false.

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D

If assertion is false but reason is true.

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Solution

The correct option is C

If assertion is true but reason is false.


Explanation for correct option

C:

Assertion:

A cone is a three-dimensional solid form with a definite shape.

It has a flat surface and a curved, upward-pointing surface.

It is made up of a series of line segments that connect the circular base to a common point called the apex or vertex.

Thus, a cone is a solid figure.

Assertion is correct.

Reason:

We know that, when a right-angled triangle is spun around its base, only then it forms a cone.

And so, a cone is not generated when rectangular sheet is rotated about its axis or horizontally.

Reason is incorrect.

Since, Assertion is true and Reason is false.

Hence, option C is correct.


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