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We have given, p + q = 7 and p2 + q2 = 19 So, (p + q) = 7 Or, p2 + q2 + 2pq = 72 [Since we know that, (a + b)2 = a2 + b2 + 2ab] Or, 19 + 2pq = 49 Or, 2pq = 49 - 19 Or, 2pq = 30 Or, pq = 15 Now, pq/2 = 15/2 = 7.5
The external dimensions of an open rectangular wooden box are 88 cm by 74cm by 67cm. If the wood is 2cm thick all around, find the amount of volume of w...
The volume of a cuboid whose length, breadth, and height are in the ratio 5:3:2, respectively, is 3,000 cm³. Find the lateral surface area of the cuboi...
A cube of maximum possible volume is cut from a sphere of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?
A sphere of radius 21 cm is melted and reshaped into a cone with a circular base of the same radius as the sphere. What is the he...
ABC is an equilateral triangle with sides of 42cm. Find the difference between its in-radius and circum-radius.
After increase in sugar prices by 20%, a person is able to buy 2 kg less sugar for Rs. 540. Find the original and increased price of sugar per kg.
...On a rectangular wall of length 28 metres and height 23 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
A square is converted into a rectangle by increasing its length by 30 % and decreasing its width by 10%. Which of the following statements is true?
Perimeter of a square and circumference of a circle are in the ratio 6:11, respectively. If area of the square is 36 cm2, then find the radiu...
Ms. Hema invests Rs. 8000 for six months at 20% per annum compounded quarterly. The total amount she gets after 6 months is :
