Advertisements
Advertisements
प्रश्न
If `bb(a/b = 2/3)` then find the value of the following expression.
`[5a^2 + 2b^2]/[ 5a^2 - 2b^2]`
उत्तर
`a/b = 2/3`
Squaring both sides,
⇒ `a^2/b^2 = 4/9`
⇒ `(5a^2)/(2b^2) = [5 xx 4]/[2 xx 9]`
⇒ `(5a^2)/(2b^2) = 20/18`
Applying componendo and dividendo, we get
`[5a^2 + 2b^2]/[ 5a^2 - 2b^2] = [20+18]/[20-18]`
⇒ `[5a^2 + 2b^2]/[ 5a^2 - 2b^2] = [38]/[2]`
⇒ `[5a^2 + 2b^2]/[ 5a^2 - 2b^2] = 19`
APPEARS IN
संबंधित प्रश्न
If `bb(a/b = 7/3)` then find the value of the following ratio.
`(2a^2 + 3b^2)/(2a^2 - 3b^2)`
If `bb(a/b = 7/3)` then find the value of the following ratio.
`(a^3 - b^3)/b^3`
If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7 )` then find the value of the following ratio.
`(7a - 3b)/ (7a + 3b)`
If `bb((15a^2 + 4b^2)/( 15a^2 - 4b^2) = 47/7)` then find the value of the following ratio.
`[ b^2 - 2a^2]/[ b^2 + 2a^2]`
If `(3a + 7b)/( 3a - 7b) = 4/3` then find the value of the ratio `(3a^2 - 7b^2)/(3a^2 + 7b^2)`.
5m - n = 3m + 4n then find the value of the following expression.
`["m"^2 + "n"^2]/["m"^2 - "n"^2]`
5m - n = 3m + 4n then find the value of the following expression.
`(3m + 4n)/(3m - 4n)`
If `bb(a/b = 2/3)` then find the value of the following expression.
`[ 4a + 3b ]/( 3b )`
If `bb("a"/"b" = 2/3)` then find the values of the following expression
`[a^3 + b^3]/b^3`
If `bb(a/b = 2/3)` then find the value of the following expression.
`[ 7b - 4a]/[ 7b + 4a ]`
