MTS 21 25-07-2022 Shift 2


Question 1

The lengths of the parallel sides of a trapezium are x cm and y cm and the area of the trapezium is 12X2 -Y2cm2.
‘What is the distance between the parallel sides (in cm)?

एक समलंबक की समांतर भुजाओं की लंबाइयां X cm और Ycm हैं और समलंबक का क्षेत्रफल 12X2 -Y2cm2
है। समांतर भुजाओं के बीच की दूरी (cm में) ज्ञात कीजिए।


Options

A

B

C

D


Solution:

Correct Answer:

D


Parallel sides of the tarpzium = x and y

Lets distance between the parallel side be = h

then we know Area of tarpzium = 12\frac12 (x+y)h

12\frac12 (x2-y2) = 12\frac12 (x+y)h

12\frac12 (x-y) (x+y) = 12\frac12 (x+y)h

h = x - y 

समलंबक की समांतर भुजाओं की लम्बाई = x और  y

 माना की समांतर भुजाओं के बीच की दूरी = h

अब हम जानते है की समलंबक का क्षेत्रफल   = 12\frac12 (x+y)h

12\frac12 (x2-y2) = 12\frac12 (x+y)h

12\frac12 (x-y) (x+y) = 12\frac12 (x+y)h

h = x - y 

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