Class 10 Maths Chapter 7 Coordinate Geometry Most Important Questions By PW

PW’s MIQs on Class 10 Maths Chapter 7: Coordinate Geometry, gives you an exam-focused way to revise this scoring chapter with clarity. You focus on distance formula, section formula, midpoint, and coordinate-based applications that frequently appear in exams. 

This targeted practice helps reduce calculation errors, improve step-wise solving, and build confidence.

As you work through these questions, coordinate geometry becomes more manageable, helping you solve problems faster and more accurately during your board exams.

Q1. The distance between the points (a cosθ + b sinθ, 0) and (0, a sinθ − b cosθ) is:

a) a² + b²
b) a + b
c) a² − b²
d) √(a² + b²)

Correct option: d) √(a² + b²)

Q2.The distance of the point (5, −4) from the x-axis is:

a) 5 units
b) 4 units
c) 1 unit
d) 9 units

Correct option: b) 4 units

Q3. Find the coordinates of the point which divides the line segment joining (−1, 3) and (4, −7) internally in the ratio 3 : 4.

a) (−8/7, −9/7)
b) (2/7, 5/7)
c) (8/7, −9/7)
d) None of the above

Correct option: c) (8/7, −9/7)

Q3.If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.

a) (19/7, 22/7)
b) (17/7, 20/7)
c) (18/7, 23/7)
d) (20/7, 21/7)

Correct option: a) (19/7, 22/7)

Q4. Find the ratio in which the line 2x + 3y − 5 = 0 divides the line segment joining the points (8, −9) and (2, 1). Also, find the coordinates of the point of division.

a) 1 : 8, (8/9, −1/3)
b) 7 : 2, (3, −1/2)
c) 2 : 7, (16/9, −2/3)
d) 8 : 1, (8/3, −1/9)

Correct option: d) 8 : 1, (8/3, −1/9)

Q5. The point P on the x-axis equidistant from the points A(−1, 0) and B(5, 0) is:

a) (2, 0)
b) (0, 2)
c) (3, 0)
d) (2, 2)

Correct option: a) (2, 0)

Q6. The coordinates of the point that is the reflection of point (−3, 5) in the x-axis are:

a) (3, 5)
b) (3, −5)
c) (−3, −5)
d) (−3, 5)

Correct option: c) (−3, −5)

Q7. If the point P(6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is:

a) 4
b) 8/3
c) 2
d) 1

Correct option:d) 1 

For more MIQs with step-by-step solutions and explanations: 

Mastering Class 10 Coordinate Geometry goes beyond memorising formulas; it involves building a clear approach to turn coordinates into logical, step-by-step solutions.

Physics Wallah’s Most Important Questions provide an all-around revision path, helping distance formula, section formula, and coordinate-based reasoning become more natural.