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:
$y = 3$
Similar Practice Questions
Three partners invested in a business in the ratio of 6 : 7 : 9 They invested their capital for 7 months, 3 months, and 9 months, respectively. Find the ratio of their profits.
Three partners invested in a business in the ratio of 6 : 7 : 9...
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2...
The monthly incomes of two friends Ashish and Kiran,
The monthly incomes of two friends Ashish and Kiran, are in the ratio 5 :...
The salaries of A and B are respectively 40% and 70% more than the salary of C. What is the ratio of B’s salary to A’s salary?
The salaries of A and B are respectively 40% and 70% more than the salary...
If F1 and F2 are the fourth proportional to
If F1 and F2 are the fourth proportional to $\frac{2}{7},\frac{7}{12}$ , 8 and $\frac{5}{6},\frac{4}{3},10$ respectively,...
If regular polygons of side 6 and 5 are inscribed in a circle of radius R, then what is the ratio of their areas?
If regular polygons of side 6 and 5 are inscribed in a circle of radius...
Find the ratio between the fourth proportional of 1, 3 and 6 to the mean proportional of 12 and 3.
Find the ratio between the fourth proportional of 1, 3 and 6 to the mean...