a6 ” - e eपा. चदि (4 - 3») : (25 + हा) «12:19 हो

1.	a6 ” - e eपा. चदि (4 - 3») : (25 + हा) «12:19 हो, तो »:+ बराबर हैंi = 23 91:27 G w2:1 -
Answer» We know that ,****************************************If a : b = c : d then a, b , c ,d are in proportion. a × d = b × d or Product of extrems = product of means******************************************** Now , ( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19 ( 4x² - 3y² ) 19 = ( 2x² + 5y² )12 76x² - 57y² = 24x² + 60y² 76x² - 24x² = 60y² +57y² 52x² = 117y² x² / y² = 117 / 52 ( x/ y )² = ( 13 × 9 ) / ( 13 × 4 ) = 9 / 4 ( x / y )² = ( 3 / 2 )² Therefore , x / y = 3 / 2 x : y = 3 : 2

a6 ” - e eपा. चदि (4 - 3») : (25 + हा) «12:19 हो, तो »:+ बराबर हैंi = 23 91:27 G w2:1 -

Answer»

We know that ,******************************************If a : b = c : d then a, b , c ,d are in

proportion.

a × d = b × d

Product of extrems = product of

means**********************************************

Now ,

( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19

( 4x² - 3y² ) 19 = ( 2x² + 5y² )12

76x² - 57y² = 24x² + 60y²

76x² - 24x² = 60y² +57y²

52x² = 117y²

x² / y² = 117 / 52

( x/ y )² = ( 13 × 9 ) / ( 13 × 4 )

= 9 / 4

( x / y )² = ( 3 / 2 )²

Therefore ,

x / y = 3 / 2

x : y = 3 : 2