If x = 4 + √6 and y = 4 - √6 then the value of x² + y² is:
44
x = 4 + √6 y = 4 - √6 x² = (4 + √6)² = 16 + 8√6 + 6 = 22 + 8√6 y² = (4 - √6)² = 16 - 8√6 + 6 = 22 - 8√6 x² + y² = (22 + 8√6) + (22 - 8√6) = 44
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Important Questions from Mensuration
In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of ₹ 24 per sq. m. The cost of making the path is: (Take π = \(\frac{22}{7}\) )
A hollow cylinder with outer radius 4 cm and height 2 cm is made up of 1 cm thick metal sheet. What is the volume of metal used? (Take π = \(\frac{22}{7}\))
The length and breadth of a rectangular field are in the ratio 4 : 3. If the cost of cultivating the field at ₹2 per m 2is ₹600, then the length of the field is:
A cylindrical tank has a capacity of 5632 m3. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = \(\frac{22}{7}\))
Find the surface area of a sphere whose diameter is equal to 28 cm.
