Coordinate geometry is an essential part of Class 10 mathematics, and mastering it can make a big difference in your exam performance. Coordinate geometry class 10 MCQs questions are commonly included in board exams, testing your understanding of key concepts like distance, midpoint, section formula, and the area of triangles. Practicing these MCQs helps you quickly apply formulas, identify patterns, and solve problems accurately under time constraints. By working through a variety of coordinate plane questions, you strengthen your problem-solving skills and build confidence. Regular practice ensures you are well-prepared for exams and competitive tests.
Coordinate Geometry Class 10 MCQs
- Distance between points (2, 3) and (5, 7) is:
a) 4
b) 5
c) √25
d) √29
Answer: d) √29
- Midpoint of points (1, 6) and (7, 2) is:
a) (4, 4)
b) (3, 3)
c) (8, 8)
d) (5, 2)
Answer: a) (4, 4)
- Coordinates of a point dividing the line segment joining (2, 3) and (8, 9) in ratio 1:2 are:
a) (4, 5)
b) (6, 7)
c) (3, 4)
d) (5, 6)
Answer: a) (4, 5)
- Distance of point (3, 4) from origin is:
a) 5
b) √7
c) 7
d) √25
Answer: a) 5
- Area of triangle with vertices (0, 0), (4, 0), (0, 3) is:
a) 7
b) 6
c) 12
d) 5
Answer: b) 6
- Slope of line joining points (2, 3) and (4, 7) is:
a) 1
b) 2
c) 3
d) 4
Answer: b) 2
- If points (1, 2), (3, 4), and (5, 6) are collinear, then:
a) Area of triangle = 0
b) Slope = 1
c) Both a and b
d) None
Answer: c) Both a and b
- Distance between points (-1, -2) and (3, 2) is:
a) 6
b) √32
c) √20
d) 5
Answer: b) √32
- Midpoint of points (-2, -3) and (4, 5) is:
a) (1, 1)
b) (2, 2)
c) (0, 0)
d) (3, 1)
Answer: a) (1, 1)
- If a line passes through points (0, 1) and (2, 5), its slope is:
a) 1
b) 2
c) 3
d) 4
Answer: b) 2
- Coordinates dividing the line segment joining (1, 1) and (7, 5) in ratio 2:1 are:
a) (3, 3)
b) (5, 4)
c) (4, 3)
d) (3, 2)
Answer: b) (5, 4)
- Area of triangle with vertices (1, 2), (3, 4), (5, 6) is:
a) 0
b) 2
c) 4
d) 6
Answer: a) 0
- Distance of point (-3, 4) from origin is:
a) 5
b) √25
c) Both a and b
d) 4
Answer: c) Both a and b
- Midpoint of (-1, 0) and (3, 4) is:
a) (1, 2)
b) (2, 2)
c) (1, 3)
d) (0, 2)
Answer: a) (1, 2)
- Slope of line through points (-2, 3) and (2, -1) is:
a) -1
b) 1
c) 2
d) -2
Answer: a) -1
- Coordinates of point dividing (0, 0) and (6, 8) in ratio 1:2 are:
a) (2, 8)
b) (2, 2.66)
c) (2, 8/3)
d) (2, 4)
Answer: c) (2, 8/3)
- Area of triangle with vertices (0, 0), (6, 0), (0, 3) is:
a) 9
b) 6
c) 18
d) 12
Answer: a) 9
- If points (2, 3), (4, 7), (6, 11) lie on a line, the slope is:
a) 2
b) 3
c) 1
d) 4
Answer: a) 2
- Midpoint of points (5, -1) and (-3, 7) is:
a) (1, 3)
b) (2, 3)
c) (1, 2)
d) (0, 3)
Answer: a) (1, 3)
- Distance between points (1, -2) and (-3, 2) is:
a) √16
b) √20
c) √32
d) √18
Answer: c) √32
- A point divides the line segment joining (2, 5) and (8, 11) in ratio 1:1. Its coordinates are:
a) (5, 8)
b) (4, 7)
c) (6, 9)
d) (3, 6)
Answer: a) (5, 8)
- Distance between points (0, -1) and (3, 2) is:
a) √12
b) √13
c) √10
d) √15
Answer: b) √13
- Midpoint of points (2, -3) and (4, 5) is:
a) (3, 1)
b) (2, 1)
c) (3, 2)
d) (2, 2)
Answer: a) (3, 1)
- Slope of line joining points (1, 1) and (4, 5) is:
a) 1
b) 4/3
c) 3/4
d) 2
Answer: b) 4/3
- Coordinates dividing (3, 2) and (9, 8) in ratio 2:1 are:
a) (5, 4)
b) (7, 6)
c) (4, 5)
d) (6, 5)
Answer: b) (7, 6)
- Area of triangle with vertices (1, 1), (2, 3), (3, 2) is:
a) 1
b) 2
c) 3
d) 4
Answer: a) 1
- If points (-2, 4), (0, 0), (2, -4) are collinear, area of triangle = ?
a) 0
b) 4
c) 2
d) 6
Answer: a) 0
- Distance between (-3, -4) and (0, 0) is:
a) 3
b) 4
c) 5
d) √25
Answer: c) 5
- Midpoint of points (-5, 1) and (3, -7) is:
a) (-1, -3)
b) (-2, -3)
c) (-1, -2)
d) (-2, -2)
Answer: a) (-1, -3)
- Slope of line through points (2, 3) and (2, 8) is:
a) 0
b) Undefined
c) 1
d) 5
Answer: b) Undefined
- Coordinates of a point dividing line joining (0, 0) and (6, 8) in ratio 3:1 are:
a) (4.5, 6)
b) (3, 4)
c) (4, 5)
d) (3, 6)
Answer: a) (4.5, 6)
- Area of triangle with vertices (2, 0), (4, 0), (3, 3) is:
a) 1
b) 2
c) 3
d) 4
Answer: c) 3
- Slope of line joining points (-1, -2) and (3, 2) is:
a) 1
b) 2
c) -1
d) -2
Answer: a) 1
- Distance between points (5, -3) and (1, 1) is:
a) 6
b) 5
c) 4√2
d) 2√5
Answer: c) 4√2
- Midpoint of points (6, 7) and (2, 3) is:
a) (4, 5)
b) (3, 4)
c) (2, 3)
d) (5, 4)
Answer: a) (4, 5)
- The line joining points (0, 0) and (4, 6) has slope:
a) 1.5
b) 2
c) 3
d) 4
Answer: a) 1.5
- Coordinates dividing line joining (-2, -1) and (4, 5) in ratio 1:2 are:
a) (0, 1)
b) (2, 3)
c) (1, 2)
d) (0, 2)
Answer: a) (0, 1)
- Area of triangle with vertices (-1, 2), (3, 4), (5, -2) is:
a) 10
b) 12
c) 8
d) 6
Answer: b) 12
- If points (1, 2), (2, 3), (3, 4) are collinear, slope = ?
a) 1
b) 2
c) 3
d) 4
Answer: a) 1
- Distance between (7, 1) and (1, 7) is:
a) 8
b) √72
c) 6√2
d) 7
Answer: b) √72
- Midpoint of points (0, -3) and (6, 3) is:
a) (3, 0)
b) (3, -1)
c) (2, 0)
d) (3, 1)
Answer: a) (3, 0)
- Slope of line joining points (4, -1) and (-2, 5) is:
a) 1
b) -1
c) 2
d) -2
Answer: b) -1
- Coordinates dividing (1, 2) and (7, 8) in ratio 1:2 are:
a) (3, 4)
b) (5, 6)
c) (4, 5)
d) (2, 3)
Answer: a) (3, 4)
- Area of triangle with vertices (0, 0), (3, 0), (0, 4) is:
a) 5
b) 6
c) 7
d) 8
Answer: b) 6
- Distance between points (2, 1) and (-2, 3) is:
a) √20
b) √18
c) √16
d) √25
Answer: a) √20
- Midpoint of points (-4, -5) and (6, 3) is:
a) (1, -1)
b) (0, -1)
c) (1, 0)
d) (2, -1)
Answer: a) (1, -1)
- Slope of line joining (1, 1) and (1, 5) is:
a) 1
b) Undefined
c) 4
d) 0
Answer: b) Undefined
- Coordinates dividing (-3, -2) and (3, 4) in ratio 2:1 are:
a) (1, 2)
b) (0, 0)
c) (1, 1)
d) (2, 3)
Answer: a) (1, 2)
- Area of triangle with vertices (2, 1), (4, 5), (6, 1) is:
a) 6
b) 8
c) 10
d) 12
Answer: a) 6
- Distance of point (-5, -12) from origin is:
a) 10
b) 12
c) 13
d) 14
Answer: c) 13
- Midpoint of points (7, -1) and (-1, 5) is:
a) (3, 2)
b) (4, 2)
c) (3, 3)
d) (2, 2)
Answer: a) (3, 2)
- Slope of line joining points (2, 3) and (5, 7) is:
a) 1
b) 4/3
c) 3/4
d) 2
Answer: b) 4/3
- Coordinates dividing (0, 0) and (9, 12) in ratio 1:2 are:
a) (3, 4)
b) (4, 5)
c) (6, 8)
d) (2, 3)
Answer: a) (3, 4)
- Area of triangle with vertices (1, 1), (2, 4), (5, 3) is:
a) 4.5
b) 5
c) 6
d) 3.5
Answer: a) 4.5
- Distance between points (1, -1) and (4, 3) is:
a) 5
b) √20
c) √18
d) 4
Answer: b) √20
- Midpoint of points (-6, 2) and (2, -4) is:
a) (-2, -1)
b) (-2, -2)
c) (-1, -1)
d) (-2, 0)
Answer: a) (-2, -1)
- Slope of line joining (0, 0) and (7, 0) is:
a) 0
b) Undefined
c) 1
d) -1
Answer: a) 0
- Coordinates dividing (2, 3) and (8, 9) in ratio 1:2 are:
a) (4, 5)
b) (3, 4)
c) (5, 6)
d) (2, 3)
Answer: b) (3, 4)
- Area of triangle with vertices (0, 0), (3, 0), (0, 5) is:
a) 7.5
b) 6
c) 8
d) 5
Answer: a) 7.5
- Distance between points (3, 4) and (-1, -2) is:
a) √32
b) √36
c) √40
d) √42
Answer: c) √40
Conclusions
Practicing coordinate geometry class 10 MCQs questions is one of the most effective ways to strengthen your understanding of key concepts like distance, midpoint, slope, and area of triangles. Regular practice not only helps you remember formulas but also improves speed and accuracy during exams. By solving a variety of coordinate plane questions, you can identify common patterns, avoid mistakes, and gain confidence. Consistent revision and solving previous years’ questions ensure that you are fully prepared for your board exams. Stay focused, practice daily, and make coordinate geometry a strong part of your mathematics preparation.
