1.

यदि `a/b=4/5` और `b/c=15/16` है तो `(18c^(2)-7a^(2))/(45c^(2)-20a^(2))` किसके बराबर है?A. `1/3`B. `5/2`C. `3/4`D. `1/4`

Answer» Correct Answer - D
`a/b=4/5` and `b/c=15/16`
`implies a/bxxb/c=4/5xx15/16=3/4`
`:. a/c=3/4`
`:. (18c^(2)-7a^(2))/(45c^(2)+20a^(2))=(c^(2)(18-7(a^(2))/(c^(2))))/(c^(2)(45+20(a^(2))/(c^(2))))`
`=(18-7(a/c)^(2))/(45+20(a/c)^(2))=(18-7xx9/16)/(45+20xx9/16)`
`= (18-63/16)/(45+45/4)=(225xx4)/(16xx225)=1/4`


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