What is the x-coordinate of a point called?
a) Ordinate
b) Abscissa
c) Distance
d) Slope
Answer: b

What is the distance of a point from the x-axis called?
a) Slope
b) Radius
c) Ordinate
d) Abscissa
Answer: c

The coordinates of a point on the x-axis are in which form?
a) (x, 0)
b) (0, y)
c) (x, y)
d) (y, x)
Answer: a

Which theorem is used to calculate the distance between two points?
a) Pythagoras Theorem
b) Triangle Theorem
c) Midpoint Theorem
d) Ratio Theorem
Answer: a

What is the distance formula between two points P(x₁, y₁) and Q(x₂, y₂)?
a) √((x₂-x₁)² – (y₂-y₁)²)
b) √((x₂-x₁)² + (y₂-y₁)²)
c) √((x₂-x₁)² * (y₂-y₁)²)
d) √((x₁+x₂)² + (y₁+y₂)²)
Answer: b

What is the distance of a point (x, y) from the origin?
a) √(x² + y²)
b) √(x² – y²)
c) √(x² + y)
d) √(x – y²)
Answer: a

A point equidistant from two points lies on the _______.
a) Perpendicular Bisector
b) Median
c) Altitude
d) Axis
Answer: a

The coordinates of a point dividing a line segment in the ratio m₁:m₂ internally is given by:
a) ((m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂))
b) ((m₁x₁ + m₂x₂)/(m₁ + m₂), (m₁y₂ – m₂y₁)/(m₁ + m₂))
c) ((m₁x₂ – m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂))
d) ((m₁x₂ + m₂x₁)/(m₁ – m₂), (m₁y₂ + m₂y₁)/(m₁ – m₂))
Answer: a

What is the ratio in which the midpoint of a line segment divides it?
a) 2:1
b) 1:1
c) 3:1
d) 1:2
Answer: b

The midpoint formula for a line joining P(x₁, y₁) and Q(x₂, y₂) is:
a) ((x₁ – x₂)/2, (y₁ – y₂)/2)
b) ((x₁ + x₂)/2, (y₁ + y₂)/2)
c) ((x₁x₂)/2, (y₁y₂)/2)
d) ((x₁ – x₂)/2, (y₁ + y₂)/2)
Answer: b

A triangle with one angle as 90° is called:
a) Isosceles triangle
b) Equilateral triangle
c) Right triangle
d) Scalene triangle
Answer: c

If two points A and B lie on the x-axis, their y-coordinates are:
a) Positive
b) Negative
c) Zero
d) Undefined
Answer: c

The length of the diagonal of a square is given by:
a) Side²
b) Side√2
c) 2*Side
d) √(Side)
Answer: b

The line segment joining (4, -3) and (8, 5) is divided in a ratio of 3:1. The coordinates of the dividing point are:
a) (7, 3)
b) (6, 2)
c) (5, 0)
d) (4, 1)
Answer: a

What type of figure is formed if all four sides are equal and the diagonals bisect each other?
a) Rectangle
b) Parallelogram
c) Square
d) Trapezium
Answer: c

The distance of a point P(x, y) from the origin O(0, 0) is represented as:
a) OP = √(x² + y²)
b) OP = √(x² – y²)
c) OP = √(x + y)
d) OP = √(x – y)
Answer: a

The sum of the angles of a triangle is always:
a) 360°
b) 180°
c) 90°
d) 270°
Answer: b

A line joining (3, 4) and (-3, -4) is divided by the y-axis in which ratio?
a) 1:1
b) 2:1
c) 3:1
d) 5:1
Answer: d

The point (0, 5) lies on:
a) X-axis
b) Y-axis
c) Both axes
d) None of these
Answer: b

What is the name of the point that divides a segment externally?
a) Interior point
b) Exterior point
c) Sectional point
d) Centroid
Answer: b

A triangle is said to be collinear if:
a) The sum of two sides is equal to the third side
b) All angles are 60°
c) All points lie on the same line
d) The area is zero
Answer: d

If a line segment is trisected, it is divided into:
a) 2 equal parts
b) 3 equal parts
c) 4 equal parts
d) 5 equal parts
Answer: b

Which formula is used to find the area of a triangle given three vertices?
a) Distance formula
b) Section formula
c) Shoelace formula
d) Heron’s formula
Answer: c

A point on the x-axis is of the form:
a) (0, x)
b) (x, 0)
c) (x, y)
d) (y, 0)
Answer: b

The distance between points A(0, 0) and B(3, 4) is:
a) 5 units
b) 7 units
c) 6 units
d) 9 units
Answer: a

A quadrilateral whose opposite sides are equal is called:
a) Square
b) Rectangle
c) Parallelogram
d) Rhombus
Answer: c

What is the slope of a vertical line?
a) 1
b) 0
c) Undefined
d) Negative
Answer: c

A point lies on the line x + y = 5. What relation must x and y satisfy?
a) x = y
b) x – y = 5
c) x + y = 5
d) x² + y² = 5
Answer: c

In coordinate geometry, the perpendicular bisector is equidistant from:
a) All points on the line segment
b) The origin
c) The endpoints of the segment
d) The x-axis
Answer: c

If the vertices of a parallelogram are A, B, C, and D, then its diagonals:
a) Are equal
b) Bisect each other
c) Are parallel
d) Are perpendicular
Answer: b

The distance between points (1, 1) and (4, 5) is:
a) √25
b) 5
c) √18
d) 4
Answer: b

A point equidistant from (3, 4) and (7, 8) lies on:
a) The x-axis
b) The y-axis
c) The perpendicular bisector of the line joining the two points
d) The line x = y
Answer: c

What is the slope of the line joining (2, 3) and (6, 7)?
a) 1
b) 2
c) 3
d) 0
Answer: a

A triangle has vertices A(0, 0), B(4, 0), and C(0, 3). The area of the triangle is:
a) 6 square units
b) 12 square units
c) 7 square units
d) 10 square units
Answer: a

The point (0, -5) lies:
a) On the x-axis
b) On the y-axis
c) In the first quadrant
d) In the second quadrant
Answer: b

The slope of a horizontal line is:
a) 1
b) 0
c) Undefined
d) Infinite
Answer: b

A line passing through the origin has an equation of the form:
a) x = y
b) y = mx
c) x + y = 0
d) y = c
Answer: b

The coordinates of the centroid of a triangle are:
a) The average of the midpoints
b) The average of the vertices’ coordinates
c) The intersection of medians
d) None of the above
Answer: b

A square is a special type of:
a) Parallelogram
b) Trapezium
c) Rectangle
d) Both a and c
Answer: d

What is the equation of a line parallel to the x-axis?
a) x = 0
b) y = constant
c) x = constant
d) y = 0
Answer: b

The diagonal of a rhombus divides it into:
a) Four triangles of equal area
b) Two triangles of equal area
c) Four congruent triangles
d) None of the above
Answer: a

The length of the side of a square whose diagonal is 10√2 is:
a) 10
b) 20
c) 5
d) 10√2
Answer: a

The vertices of a triangle are A(1, 2), B(3, 6), and C(5, 2). The base BC is:
a) 5 units
b) 4 units
c) 6 units
d) 7 units
Answer: b

If a point divides a segment externally, the section formula uses:
a) Positive ratios
b) Negative ratios
c) Reciprocal ratios
d) Undefined ratios
Answer: b

The y-intercept of a line y = 3x + 4 is:
a) 3
b) 4
c) -3
d) 0
Answer: b

The distance formula is based on:
a) Midpoint Theorem
b) Pythagoras Theorem
c) Section Formula
d) Centroid Theorem
Answer: b

The slope of the line x = 3 is:
a) 3
b) 1
c) 0
d) Undefined
Answer: d

The coordinates of the midpoint of the segment joining (2, 3) and (4, 5) are:
a) (3, 4)
b) (2, 4)
c) (3, 5)
d) (2, 3)
Answer: a

A triangle with vertices (0, 0), (6, 0), and (0, 8) is:
a) Isosceles
b) Right-angled
c) Equilateral
d) Both a and b
Answer: d

A quadrilateral is a rhombus if:
a) All sides are equal
b) Opposite angles are equal
c) Diagonals bisect each other at right angles
d) All of the above
Answer: d