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In Fig. 4.220, D is the mid-point ...

In Fig. 4.220, `D` is the mid-point of side `B C` and `A E_|_B C` . If `B C=a ,\ \ A C=b ,\ \ A B=c ,\ \ E D=x ,\ \ A D=p` and `A E=p` and `A E=h` , prove that: (FIGURE) `b^2=p^2+a x+(a^2)/4` (ii) `c^2=p^2-a x+(a^2)/4` (iii) `b^2+c^2=2\ p^2+(a^2)/2`

A

`{:(P,Q,R),(a^(2)x,a^(2)//2,2p^(2)):}`

B

`{:(P,Q,R),(ax,a^(4)//2,4p^(2)):}`

C

`{:(P,Q,R),(ax,a^(4)//2,2p^(2)):}`

D

`{:(P,Q,R),(a^(2)x,a^(2)//2,2p):}`

Text Solution

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The correct Answer is:
C
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