Factorise x 3 8 - 64 - 3 x 2 + 24 x by using suitable identity.

The given expression is x 3 8 - 64 - 3 x 2 + 24 x . The given expression can be written as x 2 3 - 4 3 - 3 × x 2 × 1 4 × 4 + 3 × x × 16 2 = x 2 3 - 4 3 - 3 × x 2 2 × 4 + 3 × x 2 × 4 2 Using the algebraic identity, x 3 - y 3 - 3 x 2 y + 3 x y 2 = x - y 3 , we get, x 2 3 - 4 3 - 3 × x 2 2 × 4 + 3 × x 2 × 4 2 = x 2 - 4 3 = x 2 - 4 x 2 - 4 x 2 - 4 Hence, x 3 8 - 64 - 3 x 2 + 24 x = x 2 - 4 x 2 - 4 x 2 - 4 .

E M B I B E

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART A>Q 11

EASY

9th CBSE

IMPORTANT

Earn 100

Write the another name of curved surface area.

Important Questions on Sample Question Paper 4 Mathematics

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART A>Q 11

For any solid figure, write the formula to find the volume of figure.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART A>Q 12

In square

A B C D

,

P

and

Q

are mid-points of

A B

and

C D

, respectively. If

A B = 8 cm

and

P Q

and

B D

intersect at

O

, then find the area of

△ O P B

in

{cm}^{2}

.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART A>Q 15

Find a point on

X

-axis, from where graph of linear equation

2 x = 1 - 5 y

will pass.

EASY

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART A>Q 16

If two supplementary angles are in the ratio

3 : 2

, then find their angles.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART A>Q 16

Two complementary angles are in the ratio

7 : 8 .

Find the angles.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART B>Q 21

Factorise

\frac{x^{3}}{8} - 64 - 3 x^{2} + 24 x

by using suitable identity.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART B>Q 22

The radius of a circle is

10 cm

and the length of one of its chords is

12 cm

. Find the distance of the chord from the centre in

cm

.

MEDIUM

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 22 - Sample Question Paper 4 Mathematics>PART B>Q 23

To improve the practical knowledge and awareness about the social life Directorate of Education announces a visit in a Delhi Public School. Girls are asked to prepare a rangoli in triangular shape as shown in figure.

Question Image

Dimensions of rangoli $(△ A B C)$ are $25 cm, 28 cm, 26 cm$ . Garland is to be placed along the side of $△ P Q R$ , which is formed by joining the mid-points of sides of $△ A B C$ , then find the length of garland in $cm$ .

Learn and Prepare for any exam you want !

|

|

|

|

|

|

|

|