A) Infinitely many values of \[a\]
B) Exactly two values of \[a\]
C) Exactly one value of \[a\]
D) No value of \[a\]
Correct Answer: D
Solution :
Equation of line PQ (i.e., common chord) is \[5ax+(c-d)y+a+1=0\] .....(i) Also given equation of line PQ is \[5x+by-a=0\] ..... (ii) Therefore \[\frac{5a}{5}=\frac{c-d}{b}=\frac{a+1}{-a};\] As \[\frac{a+1}{-a}=a\] Þ \[{{a}^{2}}+a+1=0\] Therefore no real value of a exists, (as D<0).You need to login to perform this action.
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