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(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

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Simplify : log (a)3 - log a

[8] Logarithms
Chapter: [8] Logarithms
Concept: undefined >> undefined

Simplify : log (a)3 ÷  log a

[8] Logarithms
Chapter: [8] Logarithms
Concept: undefined >> undefined

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Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.

[8] Logarithms
Chapter: [8] Logarithms
Concept: undefined >> undefined

Given log x = 2m - n , log y = n - 2m and log z = 3m - 2n , find in terms of m and n, the value of log `(x^2y^3 ) /(z^4) `.

[8] Logarithms
Chapter: [8] Logarithms
Concept: undefined >> undefined

The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.

[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined

Prove that the bisectors of interior angles of a parallelogram form a rectangle.

[14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Chapter: [14] Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]
Concept: undefined >> undefined

Draw frequency polygons for each of the following frequency distribution: 

(a) using histogram

(b) without using histogram

C.I

10 - 30

30 - 50

50 - 70 70 - 90 90 - 110 110 - 130 130 - 150
ƒ  4 7 5 9 5 6 4
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Draw frequency polygons for each of the following frequency distribution:
(a) using histogram
(b) without using histogram

C.I

5 -15 15 -25 25 -35 35 - 45 45-55 55-65
ƒ  8 16 18 14 8 2
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a frequency polygon for the following data:

Class-Intervals 10-14 15-19 20-24 25-29 30-34
Frequency 5 8 12 9 4
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Construct a combined histogram and frequency polygon for the following frequency distribution:

Class-Intervals 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60
Frequency 3 5 6 4 2
[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

The daily wages in a factory are distributed as follows:

Daily wages (in Rs.)

125 - 175

175 - 225

225 - 275

275 - 325

325 - 375

Number of workers

4

20

22

10

6

Draw a frequency polygon for this distribution.

[18] Statistics
Chapter: [18] Statistics
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
x = 3

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
x + 3 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
x - 5 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
2x - 7 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
y = 4

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
y + 6 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
y - 2 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:

3y + 5 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph for the linear equation given below:
2y - 5 = 0

[26] Co-ordinate Geometry
Chapter: [26] Co-ordinate Geometry
Concept: undefined >> undefined
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