geometry

Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Fig...

Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is

Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is

An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented per...

A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus?

An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle?

In the above figure, O is the center of the circle and, M and N lie on the circle. The area of the right triangle MON is 50 cm². What is the area of the circle in cm² ?

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is _____

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is agai...

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m² of area. What is the area of the...

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

A right-angled cone (with base radius 5 cm and height 12 cm), as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the...

A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m 2 of area. What is the area of th...

The perimeters of a circle, a square and an equilateral triangle are equal. Which one of the following statements is true?

In a $$2-D$$ $$CAD$$ package, clockwise circular arc of radius, $$5,$$ specified from $${P_1}\left( {15,10} \right)$$ to $${P_2}\left( {10,15} \right)$$ will have its center at

In computer aided drafting practice, an arc is defined by