geometry

In the given figure, $\overline{PQ}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle ROS = 80^{\circ}$. When $\overli...

Spheres of unit diameter are centered at (l, m, n) where l, m, and n take every possible integer values. The distance between two spheres is computed from the center of one sphere...

In the triangle PQR, the lengths of PT and TR are in the ratio of 3:2. ST is parallel to QR. Two semicircles are drawn with PS and PQ as diameters, as shown in the figure. Which on...

Spheres of unit diameter are centered at ( $l, m, n$ ) where $l, m$ and $n$ take every possible integer values. The distance between two spheres is computed from the center of one...

In the following figure, CD = 5 cm, BE = 10 cm, AE = 12 cm, ∠DAB = ∠DCB, and ∠DAE = ∠DBC = 90° Points AFCD create a rhombus. The length of BF (in cm) is

A surveyor has to measure the horizontal distance from her position to a distant reference point C. Using her position as the center, a 200 m horizontal line segment is drawn with...

A square with sides of length 6 cm is given. The boundary of the shaded region is defined by two semi-circles whose diameters are the sides of the square, as shown. The area of the...

Consider the following equation in a 2-D real-space. |x1|^p + |x2|^p = 1 for p > 0 Which of the following statement(s) is/are true.

For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is