1) ABZP is a rectangle and ABCD and CXYZ are squares whose areas add up to 1 .
Maximum possible area of the rectangle ABZP-
2) Let A , B and C be 3 circles lying in the same quadrant each touching both the axes . Suppose also that A touches B and B touches C . If the area of the smallest circle is 1 unit , then area of largest circle is -
3) Consider an equilateral triangle ABC with side 2.1 cm. You want to place a number of smaller equilateral triangles , each with side 1 cm , over the triangle ABC , so that triangle ABC is fully covered. What is the minimum number of smaller triangles needed
6) f(x) is a non-negative continuous function such that for all , then