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The straight lines 7x-2y+10=0 and 7x+2y-...

The straight lines `7x-2y+10=0` and `7x+2y-10=0`form an isosceles triangle with the line `y=2.`The area of this triangle is equal to(a)`(15)/7s qdotu n i t s` (b) `(10)/7s qdotu n i t s``(c)(18)/7s qdotu n i t s`(d) none of these

A

15/7 sq. units

B

10/7 sq. units

C

18/7 sq. units

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
We have
`B-=((6)/(7),2),C-=(-(6)/(7),2)`
`"or " BC=(12)/(7),AD=3`

`therefore Delta_(ABC) = (1)/(2) xx (12)/(7) xx 3 = (18)/(7)` sq. units
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