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
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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