CBSE > Class 09 > Mathematics | CBSE Board | Homework Help

Let a factor of this to be (x-1) , then x = 1 X^3-6x^2+11x-6=1^3-6×1^2+11×1-6= 1-6+11-6 = 12-12 = 0 , hence its one factor is (x-1) now another factor will be x^3...... ÷ x-1 =x^2 _5x-6=(x-3)(x-2), So x^3..... =( x-3)(x-2)(x-1)

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Visualise following on number line a. 2.746 b. 5.1235

Posted by Isha Kumre 5 years, 10 months ago

CBSE > Class 09 > Mathematics

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50 MCQ Question

Posted by Sonu Singh 5 years, 10 months ago

CBSE > Class 09 > Mathematics

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Find volume of rectangular solid meaduring 100,50 and 25 cm

Posted by Divija Bhatt 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 10 months ago

1.25×10⁵ cm³

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What is the solution of 2.36, on 6 has bar sign

Posted by Smita Jaiswal 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Smita Jaiswal 5 years, 10 months ago

Let x=2.36 ,bar on 6 Then, x=2.36666 Since the repeating block 6 has one digit ,we multiple x by 100 to get 100x = 236.666 Subtract (100x = 236.666)- (x= 2.366) =99x= 234.3 x= (234.3 multiple 10)divide (99 multiple 10) x=781/330

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What is the solution of 2.36 , on 6 has bar sign

Posted by Smita Jaiswal 5 years, 10 months ago

CBSE > Class 09 > Mathematics

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Well with 10 metre inside diameter is dug 14m deep.Earth taken out of it is spread all around to width of 5 metre to form an embankment.Find the height of the embankment.

Posted by Diya Garg 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 10 months ago

Given the diameter = 10 m
So, the radius of the well = 5 m
Height of the well = 14 m
Width of the embankment = 5m
Therefore, radius of the embankment = 5 + 5 =10 m
Let h' be the height of the embankment,
Hence, the volume of the embankment = Volume of the well
That is, $\pi$ (R - r)²h' = $\pi r ^ { 2 } h$
$\Rightarrow$ (10² - 5²) $\times$ h' = 5² $\times$ 14
$\Rightarrow$ (100 - 25) $\times$ h' = 25 $\times$ 14
$\Rightarrow h' = \frac { 25 \times 14 } { 75 } = \frac { 14 } { 3 }$
Therefore, h' = 4.67 cm approximately.

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Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm

Posted by Diya Garg 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Prem Kumar Mandal 5 years, 10 months ago

2744

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A sphere,cylinder and cone are of same radius and same height.Find the ratio of their curved surfaces.

Posted by Diya Garg 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 10 months ago

Suppose r be the common radius of a cylinder, cone and a sphere.
height of the cylinder = Height of the cone = Height of the sphere $= 2r$
Let 'l’ be the slant height of the cone. Then
$l =$ $\sqrt{r^2 + h^2}$ = $\sqrt{r^2 + (2r)^2}$ = $\sqrt{5}$ r
$S_1 =$ Curved surface area of cylinder $= 2\pi rh$
$= 2\pi r . 2r = 4\pi r^2$
$S_2 =$ Curved surface area of cone = $\pi$ $rl =$ $\pi$ r $\sqrt{5}$ $r =$ $\sqrt{5}$ $\pi$ $r^2$
$S_3=$ Curved surface area of sphere $= 4\pi r^2$
$S_1 : S_2 : S_3 = 4\pi r^2 :\sqrt5\pi r^2 : 4\pi r^2$
$\therefore$ $S_1 : S_2 : S_3 = 4 :\sqrt5 : 4$

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draw the graph of the linear eq. y=2/3x+1/3.check from the graph that (7,5)is the solution of eq.

Posted by Soni Jain 5 years, 10 months ago

CBSE > Class 09 > Mathematics

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Using factor theorem,show that (2t-3)is a factor of 2t⁴+t³+8t²-t+6

Posted by Aryan Raj 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Ansh Jaiswal 5 years, 10 months ago

3/2

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Manjeet singh ch 8

Posted by Vinayak Pradhan 5 years, 10 months ago

CBSE > Class 09 > Mathematics

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If x + 1/x= 7 then find tge value of x³+ 1/x³

Posted by V Siva 5 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Sia ? 5 years, 10 months ago

It is given that ,
x + 1/x = 7
We know the algebraic identity,
a³ + b³ + 3ab ( a + b ) = ( a + b )³
or
a³ + b³ = ( a + b )³ - 3ab( a + b )
x³ + 1/x³ = (x + 1/x )³- 3 × x ×1/x(x + 1/x )
= ( x + 1/x )³ - 3( x + 1/x )
= 7³ - 3 × 7
= 7( 7² - 3 )
= 7 ( 49 - 3 )
= 7 × 46
= 322

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V Siva 5 years, 10 months ago

The*

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3x + 2x=0

Posted by Arshpreet Kaur 5 years, 10 months ago

CBSE > Class 09 > Mathematics

3 answers

Shveta S 5 years, 10 months ago

3x+2x=0 5x=0 x=0/5 x=0

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Yogita Ingle 5 years, 10 months ago

3x + 2x = 0
5x = 0
x = 0/5
x = 0

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Sia ? 5 years, 10 months ago

5x = 0
x = 0

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Xpover2 +3root2x+4

Posted by Krish Oberoi 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 10 months ago

$\Rightarrow x ^ { 2 } + 3 \sqrt { 2 } x + 4$
$\Rightarrow x ^ { 2 } + 2 \sqrt { 2 } x + \sqrt { 2 } x + 4$
$= x ( x + 2 \sqrt { 2 } ) + \sqrt { 2 } ( x + 2 \sqrt { 2 } )$
$\Rightarrow ( x + 2 \sqrt { 2 } ) \quad ( x + \sqrt { 2 } )$
$\{ x = - 2 \sqrt { 2 } , - \sqrt { 2 } \}$

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Find the area of the triangle whose sides are 35cm , 45cm , 50cm

Posted by Aastha Soni 5 years, 10 months ago

CBSE > Class 09 > Mathematics

2 answers

Yogita Ingle 5 years, 10 months ago

Sides Of a Triangular Field are 50 cm , 45 cm, 35 cm

Let, First Side = a
Second Side = b
Third Side = c

We know that , Semi-perimeter = a+b+c/2

⇒ s = 50+45+35/2

⇒ = 50+80/2

⇒ = 130/2

⇒ = 65

Hence semi-perimeter is 65

Using Heron's Formula

Area = √s(s-a)(s-b)(s-c)

⇒ = √65(65-50)(65-45)(65-35)

⇒ = √65(15)(20)(30)

⇒ = √ 585000

⇒ area = 764.85 cm²

Now, we have to find
Required number of flower beds that can be prepared if each bed measures 5m²

=> 764.85m² /5m²

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Sia ? 5 years, 10 months ago

To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter
s = (a+b+c)/2
where a, b, and c are the length of the three sides of a triangle
s = (35 + 45 + 50) / 2
= 130 / 2
= 65 cm
Area of scalene triangle is given by
A = sqrt (s (s - a) (s - b) (s - c))
= sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))
= sqrt (65 * 30 * 20 * 15)
= sqrt (585000)
= 764.853 sq cm

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the arrows shooting by the archers hit a tree. arrows a and arrows b are in parallel to the ground and arrow c cuts across other two arrows. if the larger angle made by arrows a and c is 150. what is the angle at which the third archer launched arrow c?

Posted by Irish Bell 5 years, 10 months ago

CBSE > Class 09 > Mathematics