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Recent questions tagged geometry

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GATE IN 2026 | GA | Question: 9
Circles $C_{1}, C_{2}$, and $C_{3}$, with centers $O_{1}, O_{2}$, and $O_{3}$, and radii $r_{1}, r_{2}$, and $r_{3}$, respectively, touch each other as shown in the follo...
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GATE IN 2025 | GA | Question: 9
In the given figure, $PQRS$ is a square of side $2 \: \mathrm{cm}$ and $PLMN$ is a rectangle. The corner $L$ of the rectangle is on the side $QR$. Side $MN$ of the rectan...
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GATE IN 2024 | GA | Question: 7
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...
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GATE IN 2021 | GA | Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
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GATE IN 2016 | GA | Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$
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GATE IN 2016 | GA | Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...
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GATE IN 2015 | GA | Question: 8
In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2...
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GATE IN 2015 | GA | Question: 9
Right triangle $PQR$ is to be constructed in the xy-plane so that the right angle is at $P$ and line $PR$ is parallel to the x-axis. The $x$ and $y$ coordinates of $P, Q$...
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GATE IN 2018 | GA | Question: 4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$$2$$4$$6$$8$
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