Q.

If a, h, b are in A.P. then the triangle area formed by the pair of lines ax2+2hx+by2=0 and the line x−y=−2 in square units is

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a

a+ba−b

b

a2+b2a−b

c

a−ba+b

d

a2+b2a+b

answer is C.

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Detailed Solution

a, h, b are in A.P2h=a+b, l=1,m=−1,n=2 n2h2−abam2−2hlm+bl2
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If a, h, b are in A.P. then the triangle area formed by the pair of lines ax2+2hx+by2=0 and the line x−y=−2 in square units is