Question : Study the given figure and answer the question that follows. Find the length of AB in the given triangle, if it is given that the length of BD is 4 units.

Option 1: 3

Option 2: 3.5

Option 3: 2.5

Option 4: 4

Question : AB is a common tangent to both the circles in the given figure. Find the distance (correct to two decimal places) between the centres of the two circles.

Option 1: 18.98 units

Option 2: 23.58 units

Option 3: 26.59 units

Option 4: 21.62 units

Question : If $\triangle ABC$ is right-angled at B, AB = 30 units and $\angle ACB=60°$, what is the value of AC?

Option 1: $20$ units

Option 2: $20\sqrt3$ units

Option 3: $40$ units

Option 4: $60$ units

Question : In the given figure, BD passes through centre O, AB = 12 and AC = 8. What is the radius of the circle?

Option 1: $3\sqrt{2}$

Option 2: $4\sqrt{3}$

Option 3: $3\sqrt{5}$

Option 4: $3\sqrt{3}$

Question : If the numerical values of the height and the area of an equilateral triangle are the same, then the length of each side of the triangle is:

Option 1: 2 units

Option 2: 4 units

Option 3: 5 units

Option 4: 8 units

Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4: