Recent questions tagged geometry

0 0 votes
1 1 answer
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In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...
1 1 vote
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In the triangle $P Q R$, the lengths of $P T$ and $T R$ are in the ratio of $3:2$.$ST$ is parallel to $QR$. Two semicircles are drawn with PS and PQ as diameters, as show...
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​​​​In the following figure,\[\begin{array}{c}\mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\\angle \mathrm{DAB}=\angle \mathrm{D...
2 2 votes
1 1 answer
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​​​​A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{~m}$ hor...
11 11 votes
3 3 answers
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A square with sides of length $6 \mathrm{~cm} $ is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as...
6 6 votes
2 answers 2 answers
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In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown...
8 8 votes
2 answers 2 answers
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Given a semicircle with $\text{O}$ as the centre, as shown in the figure, the ratio $\dfrac{\overline{AC}+\overline{CB}}{\overline{AB}}$ is _______, where $\overline{AC}$...
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350
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In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS =60^\circ$. What is the length of $PS$ ?$\dfrac{(q+r)}{qr} \\$$\dfrac{qr}{(q+r)} \\$$\sqrt...
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Choose the correct expression for $f(x)$ given in the graph.$f(x) = 1 - \mid x - 1 \mid $$f(x) = 1 + \mid x - 1 \mid $$f(x) = 2 - \mid x - 1 \mid $$f(x) = 2 + \mid x - 1 ...
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