Question : The minimum distance of distinct vision for a young adult person with no defect in the eyes is:

Option 1: 20 m

Option 2: 25 cm

Option 3: 20 cm

Option 4: 25 m

Question : A direct common tangent is drawn to two circles of radius 25 cm and 20 cm. The centres of the two circles are 35 cm apart. What is the length (in cm) of the tangent?

Option 1: $25 \sqrt{2}$

Option 2: $25 \sqrt{3}$

Option 3: $20 \sqrt{3}$

Option 4: $20 \sqrt{2}$

Question : A chord of length 40 cm is at a distance of 15 cm from the centre. What is the length of the chord of the same circle which is at a distance of 20 cm from the centre of the circle?

Option 1: 15 cm

Option 2: 25 cm

Option 3: 45 cm

Option 4: 30 cm

Question : In a circle with a radius 20 cm, P is a point located at a distance of y cm from the centre of the circle. If the length of a tangent drawn from point P to the circle is 21 cm, find the value of y.

Option 1: 31 cm

Option 2: 28 cm

Option 3: 29 cm

Option 4: 25 cm

Question : The lengths of two parallel sides of a trapezium are 15 cm and 20 cm. If its area is 175 cm², then its height is:

Option 1: 15 cm

Option 2: 10 cm

Option 3: 20 cm

Option 4: 25 cm

Question : The distance between the centres of two circles with radii of 9 cm and 16 cm is 25 cm. The length of the segment of the tangent between them is:

Option 1: $24\ \text{cm}$

Option 2: $25\ \text{cm}$

Option 3: $\frac{50}{3}\ \text{cm}$

Option 4: $12\ \text{cm}$