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समलम्ब ABCD की भुजा AD तथा BC समानान्तर हैं। ABCD तथा AED के क्षेत्रफल का अनुपात ज्ञात करें?

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समलम्ब ABCD की भुजा AD तथा BC समानान्तर हैं। ABCD तथा AED के क्षेत्रफल का अनुपात ज्ञात करें?
image
A. `(bar(AD))/(bar(BC))`
B. `(bar(BE))/(EC)`
C. `(bar(AD)+bar(BE))/(bar(AD)+bar(CE))`
D. `(bar(AD)+bar(BC))/(bar(AD))`
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Correct Answer - D
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Let `EN_|_AD`
Area of `DeltaAED=1/2xxENxxAD`
समलंब चतुर्भुज ABCD का क्षेत्रफल
`=1/2(AD+BC)xxEN`
`(ar(ABCD))/(ar(AED))=(1/2(AD+BC)xxEN)/(1/2xxENxxAD)`
`=(AD+BC)/(AD)`
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