English Medium Class 9 - CBSE Question Bank Solutions

The following statement is true or false? Give reason for your answer.

A terminated line can be produced indefinitely on both the sides.

The following statement is true or false? Give reason for your answer.

If two circles are equal, then their radii are equal.

The following statement is true or false? Give reason for your answer.

In the following figure, if AB = PQ and PQ = XY, then AB = XY.

See the given figure and write the following:-

The coordinates of B.

See the given figure and write the following:

The coordinates of C.

See the given figure and write the following:

The point identified by the coordinates (–3, –5)

See the given figure and write the following:

The point identified by the coordinates (2, – 4)

See the given figure and write the following:

The abscissa of the point D.

See the given figure and write the following:

The ordinate of the point H.

See the given figure and write the following:

The coordinates of the point L.

Write the following in decimal form and say what kind of decimal expansion has: 

`36/100`

You know that `1/7=0.bar142857.` Can you predict what the decimal expansions of `2/7, 3/7, 4/7, 5/7, 6/7`  are, Without actually doing the long division? If so, how?

[Hint: Study the remainders while finding the value of `1/7` carefully.]

Express the following in the form `p/q`, where p and q are integers and q ≠ 0.

`0.bar6`

Express 0.99999 .... in the form `p/q`. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.

What can the maximum number of digits be in the repeating block of digits in the decimal expansion of `1/17`? Perform the division to check your answer.

Look at several examples of rational numbers in the form `p/q` (q≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?

Write three numbers whose decimal expansions are non-terminating non-recurring.

Find the remainder when x³ + 3x² + 3x + 1 is divided by x+1.

Find the remainder when x³ + 3x² + 3x + 1 is divided by `x - 1/2`

Find the remainder when x³ + 3x² + 3x + 1 is divided by x.