Three vertices of parallelogram \( P Q R S \) are \( P(-2,1) \), \( Q(3,4) \) and \( R(6,1) \). Identify the coordinates of vertex \( S \).

1. In a circle with centre \( O \) and radius \( 5 \mathrm{~cm}, A B \) is a chord of length 8 cm . If \( O M \perp A B \), what 2. In a length of \( O M \) ? in the length of centre \( O \) and radius \( 13 \mathrm{~cm}, A B \) is a chord. If \( O M \perp A B \) and \( O M=5 \mathrm{~cm} \), wh 3. In a circle of radius 7 cm , find the distance of a chord of length 9 cm from the centre. 4. In a circle of radius 13 cm , a chord is drawn at a distance 12 cm from the centre. Find th length of the chord. 5. A chord of a circle is 6 cm in length and its distance from the centre is 4 cm . Find the radius of the same circle.

If the radius of a sphere is doubled, how does the surface area change compared to the original surface area?

Point \( C \) with coordinates \( (50,30) \) is mapped onto \( C^{\prime} \) through a translation by vector \( \langle-3,6\rangle \). What are the coordinates of \( C^{\prime} \) ? - \( (47,36) \) - \( (53,24) \) - \( (47,24) \) - \( (53,36) \)

В \( \triangle \mathrm{ABC} \angle \mathrm{C}=90^{\circ} \). Точка Д ве лежит в плоскости ABC , причем ДС \( \perp \mathrm{AC} \). Дожажите, что прямая AC перпевдикудярна к плоскости ДСВ. Постройте сечение тетразра гиоскостьо, проходящей через точки \( \mathrm{K}, \mathrm{M} \) и P .

2. In a circle with centre \( O \) and radius \( 13 \mathrm{~cm}, \mathrm{AB} \) is a chord. If \( \mathrm{OM} \perp \mathrm{AB} \) and \( O M=5 \) is the length of \( A B \) ? 3. In a circle of radius 7 cm , find the distance of a chord of length 9 cm from the cent 4. In circle of radius 13 cm , a chord is drawn at a distance 12 cm from the centre. length of the chord. 5. A chord of a circle is 6 cm in length and its distance from the centre is 4 cm . Find th of the same circle.