11. Number of circles that can be drawn through three non-collinear points are
12. The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is?
13. The exterior angle of a triangle is 115° and the corresponding interior opposite angles are in the ratio 2 : 3. The measure of greatest angle of the triangle is:
14. For an equilateral triangle, the ratio of the in-radius and the outer-radius is
15. If in the following figure (not to the scale), ∠ACB = 135° and the radius of the circle is 2√2 cm, then the length of the chord AB is
16. A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
17. 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.
18. If two circles do not touch or intersect each other and one does not lie inside the other, then find the number of common tangents.
19. If $$a$$ and $$b$$ are the lengths of the sides of a right angled triangle whose hypotenuse is 10 and whose area is 20, then the value of ($$a$$ + $$b$$)2 is
20. In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?
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