D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?
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Point A (2, 1) divides segment BC in the ratio 2:3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?
Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.
The sum of two fractions is 3/4. One of them is 2/3. What is the other fraction?
Which of the following is a true statement?
If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.
Find the least number that must be subtracted from 98534, to get a number exactly divisible by 824.
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter were to cost Rs. 1 lesser, then the total cost would remain unchanged. How long is the piece of cloth?