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

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Simplify: log a2 + log a-1

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

Simplify: log b ÷ log b2

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

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Find the value of:

`("log"sqrt(8))/(8)`

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

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`

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

Find the value of:

`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`

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

The diagonals PR and QS of a quadrilateral PQRS are perpendicular to each other. A, B, C and D are mid-point of PQ, QR, RS and SP respectively. Prove that ABCD is 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

PQRS is a parallelogram. M and N are the mid-points of the adjacent sides QR and RS. O is the mid-point of the diagonal PR. Prove that MONR is a rectangle and MN is half of PR.

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

ABCD is a quadrilateral in which diagonals AC and BD intersect at a point O. Prove that: areaΔAOD + areaΔBOC + areaΔABO + areaΔCDO.

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

Harmeet earns Rs.50 000 per month. He a budget for his salary as per the following table:

Expenses Accommodation Food Clothing Travel Miscellaneous saving
Amount (Rs.) 12000 9000 2500 7500 4000 15000

Draw a bar graph for the above data.

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

The birth rate thousand of the following states over a certain period is given below:

States Punjab Haryana U.P. Gujarat Rajasthan Jammu and Kashmir
Birth Rate (per thousand ) 22.9 21.8 19.5 21.1 23.9 18.3

Draw a bar graph for the above data.

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

The number of students (boys and girls) of class IX participating in different activities during their annual day function is given below:

Activities Dance Speech Singing Quiz Drama Anchoring
Boys 12 5 4 4 10 2
Girls 10 8 6 3 9 1

Draw a double bar graph for the above data.

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

Read the following bar graph and answer the following questions:

a. What information is given by the graph?
b. Which state is the largest producer of wheat?
c. Which state is the largest producer of sugar?
d. Which state has total production of wheat and sugar as its maximum?
e. Which state has the total production of wheat and sugar minimum?

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

Find if the following points are collinear or not by using a graph:
(i) (-2, -1), (0, 3) and (1, 5)
(ii) (1, 3), (-2, -4) and (3, 5)
(iii) (2, -1), (2, 5) and (2, 7)
(iv) (4, -1), (-5, -1) and (3, -1)

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

Draw a graph of each of the following equations: x + 6y = 15

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

Draw a graph of each of the following equations: 3x - 2y = 6

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

Draw a graph of each of the following equations: 3y + 2x = 11

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

Draw a graph of each of the following equations: 5x + 2y = 16

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

Draw a graph of each of the following equations: x + y - 3 = 0

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

Draw a graph of each of the following equations: x = -3y

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

Draw a graph of each of the following equations: y = `(5)/(2) xx + (2)/(5)`

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