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Maharashtra State BoardSSC (English Medium) 9th Standard

SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions

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In the following table, a ratio is given in each column. Find the remaining two ratios in the column and complete the table.

sin θ    `11/61`   `1/2`       `3/5`  
cos θ `35/37`       `1/sqrt3`        
tan θ     `1`     `21/20` `8/15`   `1/(2sqrt2)`
[8] Trigonometry
Chapter: [8] Trigonometry
Concept: undefined >> undefined

In the given figure, line LM is parallel to the Y-axis.

  1. What is the distance of line LM from the Y-axis?
  2. Write the co-ordinates of the points P, Q and R.
  3. What is the difference between the x co-ordinates of the points L and M? 
[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

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How many lines are there which are parallel to X-axis and having a distance 5 units?

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

If 'a' is a real number, what is the distance between the Y-axis and the line x = a? 

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

Point A B C D E
Co-ordinate -3 5 -7 9

seg DE and seg AB

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Point M is the midpoint of seg AB. If AB = 8 then find the length of AM.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
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Point P is the midpoint of seg CD. If CP = 2.5, find l(CD).

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
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If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Write the answers to the following questions with reference in the given figure.

  1. Write the name of the opposite ray of ray RP.
  2. Write the intersection set of ray PQ and ray RP.
  3. Write the union set of ray PQ and ray QR.
  4. State the rays of which seg QR is a subset.
  5. Write the pair of opposite rays with common end point R.
  6. Write any two rays with common end point S.
  7. Write the intersection set of ray SP and ray ST.
[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Answer the questions with the help of a given figure.

  1. State the points which are equidistant from point B.
  2. Write a pair of points equidistant from point Q.
  3.  Find d(U, V), d(P, C), d(V, B), d(U, L).
[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

How many mid points does a segment have?

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

How many points are there in the intersection of two distinct lines?

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

How many lines are determined by three distinct points?

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.

x + 4 = 0, y - 1 = 0, 2x + 3 = 0, 3y - 15 = 0

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph of the equation given below.

 x + y = 2

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph of the equation given below.

3x - y = 0

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Draw the graph of the equation given below.

2x + y = 1

[7] Co-ordinate Geometry
Chapter: [7] Co-ordinate Geometry
Concept: undefined >> undefined

Perpendicular height of a cone is 12 cm and its slant height is 13 cm. Find the radius of the base of the cone.

[9] Surface area and volume
Chapter: [9] Surface area and volume
Concept: undefined >> undefined

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

Point A B C D E
Co-ordinate -3 5 2 -7 9

seg BC and seg AD

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

Point A B C D E
Co-ordinate -3 5 2 -7 9

seg BE and seg AD

[1] Basic Concepts in Geometry
Chapter: [1] Basic Concepts in Geometry
Concept: undefined >> undefined
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Maharashtra State Board SSC (English Medium) 9th Standard Question Bank Solutions
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