Coordinate Geometry is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Coordinate Geometry with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Coordinate Geometry questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Coordinate Geometry with Solutions
1.
In triangle $ ABC $, the length of sides are $ AB = 7 $, $ BC = 10 $, and $ AC = 5 $. What is the length of the median drawn from vertex $ B $?- 6
- 5
- 7
- 8
2.
The ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and (3, -5, 8) is 2 : m.
The value of m is:- 2
- 3
- 4
- 1
3.
Two circles with centers $O_1$ and $O_2$ touch externally. The radius of the first circle is 4 cm and the second is 9 cm. The distance between their centers is 13 cm. Find the length of the direct common tangent.- 0
- 1
- 2
- 3
4.
The equation of the line passing through the point $ (2, 3) $ and making equal intercepts on the coordinate axes is:- \( x + y = 5 \)
- \( 3x + 2y = 12 \)
- \( 2x + 3y = 12 \)
- \( 5x + 5y = 25 \)
5.
Find the coordinates of the point which divides the line segment joining \((2, -3)\) and \((7, 9)\) in the ratio \(3:2\).(5, 4.2)
(5, 8.2)
(4, 10.2)
(3, 12.2)
6.
If the coordinates of the points A and B are (3, 3) and (7, 6), then the length of the portion of the line AB intercepted between the axes is:
- \( \frac{5}{4} \)
- \( \frac{\sqrt{10}}{4} \)
- \( \frac{\sqrt{13}}{3} \)
- {None of these}
7.
The area enclosed between the curve \( y = \log_e(x + e) \) and the coordinate axes is:- 1
- 2
- 3
- 4
8.
The area of a triangle with vertices at points $ A(1,2) $, $ B(4,6) $, and $ C(k, 8) $ is 5. Find the value of $ k $.- 1
- 2
- 3
- 4
9.
If the distance between the points \( (2, -1) \) and \( (k, 3) \) is 5, then the possible values of \( k \) are:- \( 2 \) and \( 6 \)
- \( -1 \) and \( 5 \)
- \( 1 \) and \( 3 \)
- \( 0 \) and \( 4 \)
10.
The equation of the circle passing through the points (1,2), (4,3), and (2,–1) is:- \( x^2 + y^2 - 6x + 2y + 5 = 0 \)
- \( x^2 + y^2 - 7x + 4y + 6 = 0 \)
- \( x^2 + y^2 - 5x + 2y + 3 = 0 \)
- \( x^2 + y^2 - 6x + 2y + 6 = 0 \)
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