bu \( y^{2}=4 x \) parabola tenglamasini qutb koordinatalar sistemasida ifodalang.

The geometrical centre of square ABCD is the origin and its side length is \( 2 \sqrt{3} \) , then the equation of the circle that touches its sides is \( \begin{array}{ll}\text { (a) } x^{2}+y^{2}=3 & \text { (b) } x^{2}+y^{2}=12 \\ \text { (c) } x^{2}+y^{2}=6 & \text { (d) }(x-\sqrt{3})^{2}+(y-\sqrt{3})^{2}=3\end{array} \)

The distance from \( \mathbf{A} \) to \( \mathbf{B} \) is three times as far as from \( \mathbf{B} \) to \( \mathbf{C} \) The distance from \( \mathbf{A} \) to \( \mathbf{C} \) is \( \mathbf{6 0} \) centimetres. Calculate the distance from \( \mathbf{A} \) to \( \mathbf{B} \).

1. If the point \( A \) moves on the line \( x=3 \) and the point \( B \) moves on the line \( O A \) where; \( (\overline{O A})(\overline{O B})=6 \) and \( O \) is the origin. Find the Geometric Locus of the point \( B \).

1. A cuboid has dimensions \( 6 \mathrm{~cm} \times 4 \mathrm{~cm} \times 3 \mathrm{~cm} \). Find its surface area and volume.

Determine the equation of a circle with centre \( (0 ; 0) \) and a point \( (3 ; 4) \) on the perimeter of the cirlce. (A) \( x^{2}+y^{2}=16 \) (B) None of these (C) \( x^{2}+y^{2}=12 \) (D) \( x^{2}+y^{2}=9 \) (E) \( x^{2}+y^{2}=25 \)