At what point does the line represented by the equation 4x + 6y = 56 intersects a line which is parallel to the x-axis, and at a distance 4 units from the origin and in the positive direction of the y-axis.
Two circles with centres O and O′ intersect at two points A and B. A line PQ is drawn parallel to OO′ through A(or B) intersecting the circles at P and Q. Find the ratio OO′:PQ.
An umbrella is made by stitching 12 triangular pieces of cloth each piece measuring 24 cm, 13 cm and 13 cm. How much cloth is required for this umbrella?
There are ^@ 76 ^@ numbers. Each number is subtracted from ^@ 77 ^@ and the mean of the numbers so obtained is found to be ^@ -9.3 ^@. Find the mean of the given numbers.
A bag contains 6 red balls, 6 blue balls and 4 green balls. Harsh draws 2 balls out of the bag. What is the probability that he gets a green ball and a red ball?
Sarika, Shilpa, Saina, Madhav, Sita, and Meenakshi are playing game by forming two teams of three players in each. In how many different ways can they be put into two teams of three players?