CUET General Test - Geometry - Miscellaneous | Free Questions

Q1:

2026: 6 June Shift 1

Geometry

>

Miscellaneous

Medium

For what value of X are the points A (-3, 12), B (7, 6) and C (x, 9) collinear.

3

-3

2

-2

Correct Answer

Option 3

Correct Answer

Explanation

Q2:

2026: 31 May Shift 2

Geometry

>

Miscellaneous

Medium

The point (x, y) is equidistant from the points (2, 4) and (1, 8). Find the relation between x and y.

2x – 8y = –45

4x + 3y = –35

7x – 3y = 45

x – 5y = 35

Correct Answer

Option 1

Correct Answer

Explanation

Q3:

2026: 30 May Shift 2

Geometry

>

Miscellaneous

Medium

If the distance of the point P (x, y) from A (0, a) is a + y, then $x^2$ equals to:

6ay

-6ay

4ay

-4ay

Correct Answer

Option 3

Correct Answer

Explanation

Q4:

2026: 30 May Shift 1

Geometry

>

Miscellaneous

Easy

To locate the position of an object or a point in a plane, we require the following perpendicular lines.

One horizontal and one vertical line

Not required horizontal line but two vertical lines

Only one horizontal line

Only one vertical line

Correct Answer

Option 1

Correct Answer

Explanation

Q5:

2026: 30 May Shift 1

Geometry

>

Miscellaneous

Easy

If A is area of regular hexagon of side 2 cm, then value of 3A (in cm $^2$ ), is:

$6\sqrt{3}$

$12\sqrt{3}$

$18\sqrt{3}$

$24\sqrt{3}$

Correct Answer

Option 3

Correct Answer

Explanation

Q6:

2026: 29 May Shift 2

Geometry

>

Miscellaneous

Medium

If Q(0, 1) is equidistant from P(5, -3) and R(x, 6), find the values of x.

0

± 1

± 4

± 6

Correct Answer

Option 3

Correct Answer

Explanation

Q7:

2026: 29 May Shift 1

Geometry

>

Miscellaneous

Easy

The point of intersection of the axes is called:

x-coordinate

Abscissa

Origin

Ordinate

Correct Answer

Option 3

Correct Answer

Explanation

Q8:

2026: 26 May Shift 1

Geometry

>

Miscellaneous

Easy

If the point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), the value of p is :

1

2

4

7

Correct Answer

Option 1

Correct Answer

Explanation

Q9:

2026: 25 May Shift 2

Geometry

>

Miscellaneous

Medium

Find the relation between x and y such that the point (x, y) is equidistant from the points (2, 5) and (6, 8).

$8x+6y-71=0$

$5x+9y-67=0$

$7x+5y+84=0$

$2x+5y-46=0$

Correct Answer

Option 1

Correct Answer

Explanation

Q10:

2026: 25 May Shift 1

Geometry

>

Miscellaneous

Easy

Match the LIST-I with LIST-II

LIST-I (Geometrical Function)		LIST-II (Formula)
A. Area of a Triangle	I.	2 (Length + Breadth)
B. Perimeter of a Rectangle	II.	$\pi\times(\text{Radius})^2$
C. Area of a Parallelogram	III.	1/2 ( Base × Height)
D. Area of a Circle	IV.	Base × Height

Choose the correct answer from the options given below:

A-III, B-II, C-IV, D-I

A-III, B-IV, C-I, D-II

A-I, B-II, C-IV, D-III

A-III, B-I, C-IV, D-II

Correct Answer

Option 4

Correct Answer

Explanation

Q11:

2026: 25 May Shift 1

Geometry

>

Miscellaneous

Medium

Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and (3,5)?

$3x + y = 5$

$x + y = 2$

$x - y = 2$

$2x - y = 0$

Correct Answer

Option 3

Correct Answer

Explanation

Q12:

2026: 24 May Shift 1

Geometry

>

Miscellaneous

Easy

Match List-I with List-II

List-I (Statements, etc.)	List-II (Values, etc.)
(A) Coordinates of origin	(I) (0, y)
(B) Distance of a point from itself	(II) (x, 0)
(C) Any point on the y axis	(III) (0, 0)
(D) Any point on the x axis	(IV) 0

Choose the correct answer from the options given below:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

Correct Answer

Option 3

Correct Answer

Explanation

Q13:

2026: 22 May Shift 2

Geometry

>

Miscellaneous

Easy

Find the coordinates of the midpoints of the line segment joining A (3, 0) and B (-5, 4).

(2, 3)

(-1, 2)

(-1, 6)

(2, 6)

Correct Answer

Option 2

Correct Answer

Explanation

Q14:

2026: 21 May Shift 2

Geometry

>

Miscellaneous

Easy

The slope of the line joining points A(3, –2) and B (x, 4) is 2. What is the value of x?

1

−1

6

−6

Correct Answer

Option 3

Correct Answer

Explanation

Q15:

2026: 21 May Shift 1

Geometry

>

Miscellaneous

Medium

Find a relation between x and y such that the points (x, y) is equidistant from points (7, 3) and (5, 2).

4x +2y = 25

3x + 3y = 28

4x +2y = 29

x - 3y = 27

Correct Answer

Option 3

Correct Answer

Explanation

Q16:

2026: 21 May Shift 1

Geometry

>

Miscellaneous

Medium

If A is area of regular hexagon of side 4 cm, then value of 4A (in cm $^2$ ) is:

66√3

76√3

86√3

96√3

Correct Answer

Option 4

Correct Answer

Explanation

Q17:

2026: 20 May Shift 1

Geometry

>

Miscellaneous

Easy

The values of y for which the distance between the points P(10, y) and Q(2, 2) is 10 unit.

-4 and 8

4 and -8

-6 and 8

6 and -8

Correct Answer

Option 1

Correct Answer

Explanation

Q18:

2026: 19 May Shift 2

Geometry

>

Miscellaneous

Easy

Find the coordinates of the point which divides the line segment joining the points (4,-1) and (-2,-3) in the ratio 2 : 3 internally.

$(\frac{3}{5}, \frac{8}{5})$

$(\frac{8}{5}, \frac{3}{5})$

$(\frac{8}{5}, \frac{9}{5})$

$(\frac{8}{5}, \frac{-9}{5})$

Correct Answer

Option 4

Correct Answer

Explanation

Q19:

2026: 18 May Shift 2

Geometry

>

Miscellaneous

Easy

Find the slope of the line perpendicular to the line passing through the points (3, 5) and (-4, 2).

$\frac{3}{7}$

$-\frac{3}{7}$

$\frac{7}{3}$

$-\frac{7}{3}$

Correct Answer

Option 4

Correct Answer

Explanation

Q20:

2026: 18 May Shift 1

Geometry

>

Miscellaneous

Easy

The distance between points P(1, 2) and Q(-3, 6) is

$4\sqrt{2}$

$5\sqrt{2}$

$\sqrt{33}$

$\sqrt{16}$

Correct Answer

Option 1

Correct Answer

Explanation

Q21:

2026: 14 May Shift 1

Geometry

>

Miscellaneous

Easy

What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis.

$5x + 6y - 30 = 0$

$6x + 5y - 30 = 0$

$5x + 6y + 30 = 0$

$6x + 5y + 30 = 0$

Correct Answer

Option 4

Correct Answer

Explanation

Q22:

2026: 12 May Shift 2

Geometry

>

Miscellaneous

Easy

The relation between A and B such that the point (A, B) is equidistant from the points (1, 3) and (2, 5) is:

2A+4B=19

5A+7B=29

7A+12B=14

3A+7B=11

Correct Answer

Option 1

Correct Answer

Explanation

Q23:

2026: 12 May Shift 1

Geometry

>

Miscellaneous

Easy

If abscissa of a point is 2 and the ordinate is 5, then the coordinates of the point located in xy plane is:

(2, 5)

(5, 2)

(1, 2.5)

(2.5, 1)

Correct Answer

Option 1

Correct Answer

Explanation

Q24:

2025: 3 June Shift 2

Geometry

>

Miscellaneous

Medium

What is the value of x for which the points A (-1, 3), B (2, x) and C (5, -1) are collinear?

0

1

-1

2

Correct Answer

Option 2

Correct Answer

Explanation

Q25:

2025: 3 June Shift 2

Geometry

>

Miscellaneous

Medium

If the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square then what is the length of the diagonal of square?

68 units

√68 units

34 units

√34 units

Correct Answer

Option 2

Correct Answer

Explanation

Q26:

2025: 2 June Shift 2

Geometry

>

Miscellaneous

Medium

If the distance between the points (2, -2) and (5, k) is 5 units, then one of the possible values of k shall be which of the following?

6

4

2

1

Correct Answer

Option 3

Correct Answer

Explanation

Q27:

2025: 29 May Shift 1

Geometry

>

Miscellaneous

Easy

What will be the reflection of point (2, 3) in the second quadrant?

(-2, 3)

(2, -3)

(-2, -3)

(3, 2)

Correct Answer

Option 1

Correct Answer

Explanation

Q28:

2025: 27 May Shift 1

Geometry

>

Miscellaneous

Easy

The number of diagonals in a Hexagon is:

6

7

8

9

Correct Answer

Option 4

Correct Answer

Explanation

Q29:

2025: 24 May Shift 2

Geometry

>

Miscellaneous

Easy

If the slope of a line passing through the points A (2, 1) and B (3, y) is 4, then the value of y will be:

0

2

5

3

Correct Answer

Option 3

Correct Answer

Explanation

Q30:

2025: 23 May Shift 1

Geometry

>

Miscellaneous

Easy

What is the slope of x - axis?

$\infty$

$+1$

$0$

$-1$

Correct Answer

Option 3

Correct Answer

Explanation

CUET General Test: GeometryMiscellaneous. Free, no login required.

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