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AP-EAPCET SERIES
Mathematics

3d Geometry

34 previous year questions.

Volume: 34 Ques
Yield: High

High-Yield Trend

8
2025
6
2024
9
2023
11
2022

Chapter Questions
34 MCQs

01
PYQ 2022
medium
mathematics ID: ap-eapce
If the point divides the line segment joining the points and in the ratio , then
1
2
3
4
02
PYQ 2022
medium
mathematics ID: ap-eapce
Let , , be the vertices of triangle . If , then is:
1
2
3
4
03
PYQ 2022
medium
mathematics ID: ap-eapce
If are the direction ratios of a line joining the points and , then the point lies on the plane
1
2
3
4
04
PYQ 2022
medium
mathematics ID: ap-eapce
If -coordinate of a point on the line joining the points and is , then the -coordinate of is
1
(x-coordinate of )
2
(z-coordinate of )
3
(z-coordinate of )
4
Sum of and coordinates of
05
PYQ 2022
medium
mathematics ID: ap-eapce
If are the direction ratios of a ray passing through the point and also the midpoint of the line segment joining the points and , then
1
2
3
4
06
PYQ 2022
medium
mathematics ID: ap-eapce
If the equation of the plane which is at a distance of units from the origin and perpendicular to a line whose directional ratios are is , then
1
2
3
4
07
PYQ 2022
medium
mathematics ID: ap-eapce
Let plane pass through and be perpendicular to both: - - Let another plane pass through point , be parallel to , and have the form: $ $
1
3
2
0
3
2
4
-2
08
PYQ 2022
medium
mathematics ID: ap-eapce
If the point divides the line segment joining the points and in the ratio , then the point which divides the line segment joining the points and in the ratio is:
1
2
3
4
09
PYQ 2022
medium
mathematics ID: ap-eapce
Let be the equation of a plane. Given that and , then the value of is:
1
2
3
4
10
PYQ 2022
medium
mathematics ID: ap-eapce
If the direction cosines of a line are: $ c - a = 4 ca $.
1
24
2
21
3
18
4
33
11
PYQ 2022
medium
mathematics ID: ap-eapce
The x-intercept of a plane passing through the point is and the perpendicular distance from the origin to the plane is . If the y-intercept of the plane is negative and the z-intercept is positive, then its y-intercept is
1
2
3
4
12
PYQ 2023
medium
mathematics ID: ap-eapce

If a straight line is equally inclined at an angle with all the three coordinate axes, then

1

2

3

4
13
PYQ 2023
medium
mathematics ID: ap-eapce
If and , then the locus of a point such that is:
1
2
3
4
14
PYQ 2023
medium
mathematics ID: ap-eapce
A point on the plane passing through the points and is:
1
2
3
4
15
PYQ 2023
medium
mathematics ID: ap-eapce
The transformed equation of when the axes are translated to the point is
1

2

3

4
16
PYQ 2023
medium
mathematics ID: ap-eapce
If a point R lies on the line joining and , then distan of R from origin is
1

2

3

4
17
PYQ 2023
medium
mathematics ID: ap-eapce
If the foot of the perpendicular drawn from to a plane is , then the equation of the plane is
1

2

3

4
18
PYQ 2023
medium
mathematics ID: ap-eapce
In , if the midpoints of the sides are respectively , then:
1
2
3
4
19
PYQ 2023
medium
mathematics ID: ap-eapce
The equation of the plane passing through the point and perpendicular to the planes is:
1
2
3
4
20
PYQ 2023
medium
mathematics ID: ap-eapce

The vector equation of any plane passing through the line of intersection of the planes and is given by for . The vector equation of a plane passing through the point and the line of intersection of the planes , is

1

2

3

4

21
PYQ 2024
medium
mathematics ID: ap-eapce
The distance of the point from the plane measured parallel to is?
1

2

3

4
22
PYQ 2024
easy
mathematics ID: ap-eapce

The distance from a point to a variable plane is 12 units and the points of intersections of the plane with X, Y, Z-axes are respectively. If the point of intersection of the planes through the points and parallel to the coordinate planes is , then the equation of the locus of is:

1

2

3

4

23
PYQ 2024
medium
mathematics ID: ap-eapce
If the line with direction ratios is perpendicular to the line with direction ratios and parallel to the line with direction ratios then is:
1

2

3

4
24
PYQ 2024
medium
mathematics ID: ap-eapce
The equation of the plane which bisects the angle between the planes $ $
1

2

3

4
25
PYQ 2024
easy
mathematics ID: ap-eapce

If , , , and are four points and the point of intersection of the lines and is , then

1

2

3

4

26
PYQ 2024
medium
mathematics ID: ap-eapce

If , then the rate of change of with respect to at is:

1

2

3

4
27
PYQ 2025
medium
mathematics ID: ap-eapce
The direction cosines of the line making angles $ \theta 0<\theta<\frac{\pi}{2} $) with X, Y, and Z axes respectively are:
1

2

3

4
None of these
28
PYQ 2025
medium
mathematics ID: ap-eapce
Let vectors: If divides in ratio 2:1 internally, and divides in ratio 1:2 externally, find the ratio in which the point divides line
1
2:1
2
-2:1
3
2:3
4
-2:3
29
PYQ 2025
medium
mathematics ID: ap-eapce
Let A = (2, 0, -1), B = (1, -2, 0), C = (1, 2, -1), and D = (0, -1, -2) be four points. If is the acute angle between the plane determined by A, B, C and the plane determined by A, C, D, then
1

2

3

4

30
PYQ 2025
medium
mathematics ID: ap-eapce
If the equation of the plane passing through point and perpendicular to the planes $ 2b + 3c + d $.
1
0
2
35
3
1
4
20
31
PYQ 2025
medium
mathematics ID: ap-eapce
The points are:
1
are collinear
2
form an isosceles triangle
3
form a right angled triangle
4
form a scalene triangle
32
PYQ 2025
medium
mathematics ID: ap-eapce
The vector equation of a plane passing through the line of intersection of the planes $ \vec{r} = \hat{i} + 2\hat{j} + 3\hat{k} $ is:
1

2

3

4

33
PYQ 2025
medium
mathematics ID: ap-eapce
If are two vectors such that , then the unit vector in the direction of is:
1

2

3

4
34
PYQ 2025
medium
mathematics ID: ap-eapce
If the line joining points and intersects the plane through the points at , then find
1
15
2
5
3
3
4
7

About 3d Geometry - AP-EAPCET

3d Geometry is a vital chapter for AP-EAPCET aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on 3d Geometry PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within 3d Geometry carry the most weight. Then, tackle the questions iteratively to solidify your understanding.