If the third proportional of $ 3x^2 $ and 4xy is 48, then the positive value of y is :
If the third proportional of $ 3x^2 $ and 4xy is 48, then the positive value of y is :
यदि $ 3x^2 $ और 4xy का तृतीयानुपाती 48 है, तो y का धनात्मक मान कितना है?
Detailed Solution & Logic
Correct Answer:
3
To find the third proportional:
$3x^2 : 4xy = 4xy : 48$
So,
$3x^2 \cdot 48 = (4xy)^2$
$144x^2 = 16x^2 y^2$
Divide both sides by $16x^2$:
$9 = y^2$
So the positive value:
$y = 3$
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