यदि x, 12.8 और 64.8 का मध्यानुपाती है और y, 38.4 और 57.6 का तृतीयानुपाती पद है, तो 2xy
बराबर होगा?
a) 2:3
b) 1:2
c)3:4
d)4:5
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Answer:
d. is the answer
Step-by-step explanation:
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Given :-
- x is the mean proportional between 12.8 and 64.8.
- y is the third proportional to 38.4 and 57.6 .
To Find :-
- 2x : y = ?
Solution :-
we know that,
- Mean proportion of a and b = √(ab)
so,
→ x = Mean proportion of 12.8 and 64.8
→ x = √(12.8 * 64.8)
→ x = √(829.44)
→ x = 28.8
now,
→ The third proportional to 38.4 and 57.6 = y
so,
→ 38.4 : 57.6 :: 57.6 : y
→ Product of Extreme = Product of Means .
→ 38.4 * y = 57.6 * 57.6
→ y = (57.6 * 57.6) / 38.4
→ y = 86.4
therefore,
→ 2x : y
→ 2(28.8) : 86.4
→ 2(28.8) : 3(28.8)
→ 2 : 3 (Ans.)
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