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Recent questions tagged geometry

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1 1 answer
GATE Chemical 2026 | GA | Question: 10
As shown in the figure, circle $C_{1}$ with center $O_{1}$ and radius $r_{1}$ touches the square $V W X Y$ at points $P$ and $Q$ while circle $C_{2}$ with center $O_{2}$ ...
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GATE Chemical 2025 | GA | Question: 9
​​​A circle with center at $(x, y)=(0.5,0)$ and radius $=0.5$ intersects with another circle with center at $(x, y)=(1,1)$ and radius $=1$ at two points. One of the point...
7 7 votes
2 2 answers
GATE CH 2023 | GA | Question: 3
In the given figure, PQRS is a parallelogram with $\mathrm{PS}=7 \mathrm{~cm}, \mathrm{PT}=4 \mathrm{~cm}$ and $\text{PV}=5 \mathrm{~cm}$. What is the length of $\mathrm{...
1 1 vote
1 1 answer
GATE CH 2021 | GA | Question: 2
A polygon is convex if, for every pair of points, $P$ and $Q$ belonging to the polygon, the line segment $PQ$ lies completely inside or on the polygon. Which one of the f...
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GATE CH 2021 | GA | Question: 6
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges ...
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GATE Chemical 2016 | GA | Question: 5
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If t...
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1 1 answer
GATE Chemical 2014 | GA | Question: 4
If $y=5x^{2}+3,$ then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$
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GATE Chemical 2014 | GA | Question: 8
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The larg...
4 4 votes
2 answers 2 answers
GATE Chemical 2018 | GA | Question: 5
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $\text{10 cm, 8 cm and 6 cm}$ A cube of side $\text...
5 5 votes
2 answers 2 answers
GATE Chemical 2018 | GA | Question: 4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
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