TS EAMCET PYQs for Three Dimensional Geometry with Solutions: Practice TS EAMCET Previous Year Questions

Select Goal &

City

Select Goal

Write a ReviewGet Upto ₹300*

Yashodeep Mahurkar

Updated on - Jan 4, 2026

Three Dimensional Geometry is an important topic in the Mathematics section in TS EAMCET exam. Practising this topic will increase your score overall and make your conceptual grip on TS EAMCET exam stronger.

This article gives you a full set of TS EAMCET PYQs for Three Dimensional Geometry with explanations for effective preparation. Practice of TS EAMCET Mathematics PYQs including Three Dimensional Geometry questions regularly will improve accuracy, speed, and confidence in the TS EAMCET 2026 exam.

TS EAMCET PYQs for Three Dimensional Geometry with Solutions

1.
In △ABC, if a : b : c = 4 : 5 : 6, then the ratio of the circumference to its in radius is
- 16:7
- 25:11
- 5:4
- 9:5
View Solution
2.
The orthocenter of the triangle whose sides are given by x + y + 10 = 0, x - y - 2 = 0 and 2x + y - 7 = 0 is
- (-4, -3)
- (-4, -6)
- (4,6)
- (3,6)
View Solution
3.
If $(\alpha, \beta, \gamma)$ is the foot of the perpendicular drawn from a point $(-1,2,-1)$ to the line joining the points $(2,-1,1)$ and $(1,1,-2)$, then $\alpha+\beta+\gamma=$
- 2
- $\frac{1}{7}$
- 0
- $\frac{3}{14}$
View Solution
4.
Let $\pi_1$ be the plane determined by the vectors $\hat{i}+\hat{j}, \hat{i}+\hat{k}$ and $\pi_2$ be the plane determined by the vectors $\hat{j}-\hat{k}, \hat{k}-\hat{i}$. Let $\vec{a}$ be a non-zero vector parallel to the line of intersection of the planes $\pi_1$ and $\pi_2$. If $\vec{b} = \hat{i}+\hat{j}-\hat{k}$ then the angle between the vectors $\vec{a}$ and $\vec{b}$ is
- $\text{Cos}^{-1}\left(\frac{2}{\sqrt{3}}\right)$
- $\frac{\pi}{2}$
- $\text{Cos}^{-1}\left(\frac{1}{\sqrt{3}}\right)$
- $\text{Cos}^{-1}\left(\frac{\sqrt{2}}{3}\right)$
View Solution
5.
The perimeter of a △ABC is 6 times the arithmetic mean of the values of the sine of its angles. If the side BC is of the unit length, then ∠A =
- π/6
- π/3
- π/2
- π
View Solution
6.
If m:n is the ratio in which the point $\left(\frac{8}{5}, \frac{1}{5}, \frac{8}{5}\right)$ divides the line segment joining the points (2,p,2) and (p,-2,p) where p is an integer then $\frac{3m+n}{3n}=$
- p
- 2p
- 3p
- 4p
View Solution
7.
The number of diagonals of a polygon is 35. If A, B are two distinct vertices of this polygon, then the number of all those triangles formed by joining three vertices of the polygon having AB as one of its sides is:
- 1
- 8
- 10
- 12
View Solution
8.
If A(2,1,-1), B(6,-3,2), C(-3,12,4) are the vertices of a triangle ABC and the equation of the plane containing the triangle ABC is $53x+by+cz+d=0$, then $\frac{d}{b+c}=$
- -5
- 1
- 4
- -15
View Solution
9.
For l ∈ R, the equation (2l - 3) x² + 2lxy - y² = 0 represents a pair of distinct lines
- only when l = 0
- for all values of l ∈ (-3, 1)
- for all values of l ∈ R - (0, 1)
- for all values of l ∈ R - (-3, 1)
View Solution
10.
In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB²+ BC² + CA² =
- 50
- 200
- 300
- 400
View Solution

View more TS EAMCET Questions

Fees Structure

Structure based on different categories

Categories	State
General	900
sc	500

In case of any inaccuracy, Notify Us!

Comments

No Comments To Show

SUBSCRIBE TO OUR NEWS LETTER

COLLEGE NOTIFICATIONS

EXAM NOTIFICATIONS

NEWS UPDATES

Download the Collegedunia app on

TS EAMCET PYQs for Three Dimensional Geometry with Solutions

1.In △ABC, if a : b : c = 4 : 5 : 6, then the ratio of the circumference to its in radius is

2.The orthocenter of the triangle whose sides are given by x + y + 10 = 0, x - y - 2 = 0 and 2x + y - 7 = 0 is

3.If $(\alpha, \beta, \gamma)$ is the foot of the perpendicular drawn from a point $(-1,2,-1)$ to the line joining the points $(2,-1,1)$ and $(1,1,-2)$, then $\alpha+\beta+\gamma=$

5.The perimeter of a △ABC is 6 times the arithmetic mean of the values of the sine of its angles. If the side BC is of the unit length, then ∠A =

6.If m:n is the ratio in which the point $\left(\frac{8}{5}, \frac{1}{5}, \frac{8}{5}\right)$ divides the line segment joining the points (2,p,2) and (p,-2,p) where p is an integer then $\frac{3m+n}{3n}=$

7.The number of diagonals of a polygon is 35. If A, B are two distinct vertices of this polygon, then the number of all those triangles formed by joining three vertices of the polygon having AB as one of its sides is:

8.If A(2,1,-1), B(6,-3,2), C(-3,12,4) are the vertices of a triangle ABC and the equation of the plane containing the triangle ABC is $53x+by+cz+d=0$, then $\frac{d}{b+c}=$

9.For l ∈ R, the equation (2l - 3) x2 + 2lxy - y2 = 0 represents a pair of distinct lines

10.In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB2 + BC2 + CA2 =

Fees Structure

Structure based on different categories

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
In △ABC, if a : b : c = 4 : 5 : 6, then the ratio of the circumference to its in radius is

2.
The orthocenter of the triangle whose sides are given by x + y + 10 = 0, x - y - 2 = 0 and 2x + y - 7 = 0 is

3.
If $(\alpha, \beta, \gamma)$ is the foot of the perpendicular drawn from a point $(-1,2,-1)$ to the line joining the points $(2,-1,1)$ and $(1,1,-2)$, then $\alpha+\beta+\gamma=$

5.
The perimeter of a △ABC is 6 times the arithmetic mean of the values of the sine of its angles. If the side BC is of the unit length, then ∠A =

6.
If m:n is the ratio in which the point $\left(\frac{8}{5}, \frac{1}{5}, \frac{8}{5}\right)$ divides the line segment joining the points (2,p,2) and (p,-2,p) where p is an integer then $\frac{3m+n}{3n}=$

7.
The number of diagonals of a polygon is 35. If A, B are two distinct vertices of this polygon, then the number of all those triangles formed by joining three vertices of the polygon having AB as one of its sides is:

8.
If A(2,1,-1), B(6,-3,2), C(-3,12,4) are the vertices of a triangle ABC and the equation of the plane containing the triangle ABC is $53x+by+cz+d=0$, then $\frac{d}{b+c}=$

9.
For l ∈ R, the equation (2l - 3) x² + 2lxy - y² = 0 represents a pair of distinct lines

10.
In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB²+ BC² + CA² =