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1.
The sum of squares of two number is 80 and the squre of difference between the two number is 36. Find the product of two number
- A. 11
- B. 11
- C. 11
- D. 11
Answer: Option B
Explanation:
Let x and y be the two numbers. ATQ, x2 + y2 = 80.....(i) and (x - y)2 = 16 or, x2 - 2xy + y2 = 16 or, 80 - 2xy = 16 [ from (i) x2 + y2 = 80 ] or, 2xy = 80 - 16 = 64 or, xy = 32 so the product of the two number is 32
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