Ax = Ay tangent XB from ∆OXB = R²-r² = XB ---(1) YC from ∆OYC = R²-r²=YC ---(2) Ax = AY = R2 – r 2 -----(3) AY = YC and AX = XB by 1,2 and 3 that x and Y will be midpoint of AB & AC that means by thele’s theorm XY ‖ BC So, => xy = ½ BC
Two blends of a commodity costing Rs. 70 and Rs. 80 per kg respectively are mixed in the ratio of 2:3 by weight. If one-fifth of the mixture is sold at ...
A mixture of milk and water contains 30% water. On adding 18 litres of water, the quantity of milk becomes 50% more than that of water. Find the initial...
A vessel contains a mixture of milk and water in the ratio 7:2 respectively. 90 liters of the mixture is taken out of the vessel ...
A tank initially contains a water-alcohol mixture in a 7:3 ratio. After removing 20 liters of the mixture and replacing it with pure alcohol, the ratio ...
Quantity of water in a 250 litres mixture (alcohol + water) is 30 litres less than the quantity of alcohol in it. Find the quantity of water to be mixed...
Mixture 'A' contains milk and water in the ratio of 5:9, respectively, while Mixture 'B' consists of water and milk in the ratio of 11:14, respectively...
A 200 litres mixture of juice and water contains 30% juice. How much water should be added to the mixture to make the quantity of water 80% of the total...
Two alloys are combined to create a new alloy. The first alloy contains 20% copper, and the second alloy contains 40% copper. If the resulting alloy has...
In a mixture of 45 litres, the ratio of wine to water is 2 : 3. If this ratio is to be 1 : 3, then what is the quantity of water needed to be added?
A Vessel if full of milk, 5 litre of milk is taken out and replaced by water. This process is repeated once more, find the initial amount of milk in the...
