APPSC Group 3 Mock Tests

Co Ordinate Geometry - Problems and Solutions

  • Co Ordinate Geometry
  • 1. In which quadrant does the point(-4, -7) lie?
   A.) 1st
   B.) 2nd
   C.) 3rd
   D.) 4th

Answer: Option 'C'

The point (-4, -7) lies in 3rd quadrant. 

  • 2. In which quadrant does the point(1, 5) lie? 
   A.) 1st
   B.) 2nd
   C.) 3rd
   D.) 4th

Answer: Option 'A'

The point (1, 5) lies in 1st quadrant.

  • 3. In which quadrant does the point(9, -2) lie? 
   A.) 1st
   B.) 2nd
   C.) 3rd
   D.) 4th

Answer: Option 'D'

The point (9, -2) lies in 4th quadrant.

  • 4. In which quadrant does the point(-7, 6) lie? 
   A.) 1st
   B.) 2nd
   C.) 3rd
   D.) 4th

Answer: Option 'B'

The point (-7, 6) lies in 2nd quadrant.

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  • 5. In which quadrant does the point(0, 9) lie? 
   A.) x-axis
   B.) y-axis
   C.) 3rd
   D.) None of these

Answer: Option 'B'

Answer: Option 'B'
The point (0, 9) lies in x-axis.

  • 6. In which quadrant does the point(9, 0) lie? 
   A.) x-axis
   B.) y-axis
   C.) 4th
   D.) None of these

Answer: Option 'A'

The point (9, 0) lies in y-axis.

  • 7. Find the distance of the point A(4, -4) from the origin. 
   A.) 3√2
   B.) 2√8
   C.) 6√2
   D.) 8√2

Answer: Option 'D'

OA = √42+(-4)2 = √16+16 = √32 = 8√2 

  • 8. Find the distance of the point A(3, -3) from the origin. 
   A.) 3√2
   B.) 3√6
   C.) 6√2
   D.) 7√2

Answer: Option 'A'

OA = √32+(-3)2 = √9+9 = √18 = 3√2

  • 9. P is a point on x-axis at a distance of 4 units from y-axis to its right. The co-ordinates of P are: 
   A.) (4, 0)
   B.) (0, 4)
   C.) (4, 4)
   D.) (-4, 4)

Answer: Option 'A'

The co-ordinates of P are A(4, 0)

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  • 10. A is a point on y-axis at a distance of 5 units from x-axis lying below x-axis. The co-ordinates of A are:
   A.) (5, 0)
   B.) (-5, 0)
   C.) (0, 5)
   D.) (0, -5)

Answer: Option 'D'

The co-ordinates of A are A(0, -5)

  • 11. Find the distance of the point A(4, -2) from the origin. 
   A.) 4√5 units
   B.) 2√5 units
   C.) 5√2 units
   D.) 7√2 units

Answer: Option 'B'

OA = √4 - 02+(-2 - 0)2 = √16+4 = √20 = √4 × 5 = 2√5 units

  • 12. Find the distance between the points A(-4, 7) and B(2, -5).
   A.) 8√5 Units
   B.) 6√5 Units
   C.) 6√4 Units
   D.) None of these

Answer: Option 'B'

AB = √(2+4)2 + (-5-7)2
= √62 + (-12)2
= √36+144 = √180
=√36 × 5 = 6√5 units.

  • 13. The distance between the points A(b, 0) and B(0, a) is. 
   A.) √a2-b2.
   B.) √a2+b2.
   C.) √a+b
   D.) a-b

Answer: Option 'B'

AB = √(b-0)2-(0-a)2 
= √b2+a2 
= √a2+b2.

  • 14. If the distance of the point P(x, y) from A(a, 0) is a + x, then y2 = ?
   A.) 8ax
   B.) 6ax
   C.) 4ax
   D.) 2ax

Answer: Option 'C'

√(x-a)2+(y-0)2 = a + x 
= (x-a)2+y2 
= (a+x)2 => y2 = (x-a)2-(x-a)2-4ax => y2 = 4ax

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  • 15. The distance between the points A(5, -7) and B(2, 3) is:
   A.) 109
   B.) 5√7
   C.) √109
   D.) None of these

Answer: Option ''

AB2 = (2 - 5)2 + (3 + 7)2 
=> (-3)2 + (10)2 
=> 9 + 100 => √109

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