A) 2
B) 4
C) 1/2
D) 1/4
Correct Answer: B
Solution :
Let the point be (h, k). Then equation of the chord of contact is \[hx+ky=4\] since \[hx+ky=4\]is tangent to\[xy=1\] \[\therefore \] \[x\left( \frac{4-hx}{k} \right)=1\]has two equal roots i.e. \[h{{x}^{2}}-4x+k=0\] i.e. \[hk=4\] \[\therefore \] locus of (h, k) is\[xy=4\] i.e., \[{{c}^{2}}=4\]You need to login to perform this action.
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