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Geometry PYQ — Page 7

CUET UG General Test — Geometry previous year questions with solutions.

All Geometry Questions (208)

From the figure, find $x$.![](https://prepforbharat.s3.ap-south-1.amazonaws.com/exam/afterboards-pyq/4aece836c74f7f00.webp)

2023
medium
mcq

In a triangle ABC right angled at B, AB=8 unit and AC=10 unit. What is the value of $\sin^2\theta - \cos^2\theta$ where theta is angle ACB ?

2023
medium
mcq

If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x.

2023
easy
mcq

The heights of two right circular cones are in the ratio 1 : 2 and the circumferences of their bases are in the ratio 3 : 4. Find the ratio of their volumes.

2023
medium
mcq

The distance between two parallel sides of a trapezium is 15 m and its area is 480 m$^2$. If one of the parallel sides is 20 m long, then length of the other side is:

2023
easy
mcq

A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60 degrees on his side of bank. When he moved away 24m from the bank, he finds the angle to be 30 degrees. Find the breadth of the river:

2023
medium
mcq

From a solid cylinder whose height is 2.4 cm and diameter is 1.4 cm, a conical cavity of same height and same diameter is carved out. The total surface area of the remaining solid is: Use $\pi = \frac{22}{7}$

2023
hard
mcq

If CE is parallel to DB, what is the value of $x$: ![](https://prepforbharat.s3.ap-south-1.amazonaws.com/exam/afterboards-pyq/629b8428366990af.webp)

2023
medium
mcq

Find how many triangle are there in the given figure? ![](https://prepforbharat.s3.ap-south-1.amazonaws.com/exam/afterboards-pyq/3839ff5edd3e763e.webp)

2023
medium
mcq

The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree is :

2023
easy
mcq

Radius of the base and height of a cone are 5 cm and 12 cm respectively. Find its slant height.

2023
easy
mcq

AB is a diameter of a circle with centre (3, 4). If coordinates of A is the point (4, 9), then find the coordinates of B.

2023
easy
mcq

In the given figure DE || BC, the value of x is: ![](https://prepforbharat.s3.ap-south-1.amazonaws.com/exam/afterboards-pyq/433b56f13436d374.webp)

2023
easy
mcq

A ladder 25 feet long is leaning against a wall such that it touches 24 feet high window. How far is the foot of the ladder from the wall ?

2023
easy
mcq

64 small solid iron spheres of radius 'r' are melted to form a big sphere of radius R. If S and S' are surface areas of the small and the big sphere respectively, then find the ratio S' : S.

2023
medium
mcq

Side of the rhombus is :

2022
medium
numerical_value

In the given figure ABCD is a rhombus, the value of x is. ![](https://prepforbharat.s3.ap-south-1.amazonaws.com/exam/afterboards-pyq/a6be38b1d9c2e3a1.webp)

2022
medium
mcq

Area of the figure is.

2022
medium
mcq

If the length of diagonals of a rhombus are 10 cm and 24 cm then the side of the rhombus is.

2022
easy
mcq

The area of DGFE is

2022
medium
mcq

The ratio of the sides of the squares in the given figure is ![](https://prepforbharat.s3.ap-south-1.amazonaws.com/exam/afterboards-pyq/eea4dc0b981d790c.webp)

2022
easy
mcq

Area of triangle AFC is.

2022
medium
mcq

The angles of a triangle are $3x^\circ$, $(2x+60)^\circ$ and $(5x-40)^\circ$. Then the value of x is:

2022
easy
mcq

If the edge of a cube is 15 cm, then the volume of a cube is :

2022
easy
mcq