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Question
Match the following with the locus of z.
Column IColumn II(A)|z−z1|=k|z−z2|,k>0(p)Circle(B)||z−z1|−|z−z2||=k1,k1∈R(q)Line(C)|z+z1|+|z+z2|=k2,k2>0(r)Ellipse(D)arg(z−z1z−z2)=α,α∈R(s)No locus(t)Hyperbola
Match the following with the locus of z.
Column IColumn II(A)|z−z1|=k|z−z2|,k>0(p)Circle(B)||z−z1|−|z−z2||=k1,k1∈R(q)Line(C)|z+z1|+|z+z2|=k2,k2>0(r)Ellipse(D)arg(z−z1z−z2)=α,α∈R(s)No locus(t)Hyperbola
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Solution
The correct option is A A(P, Q), B(Q, S, T), C(Q, R, S), D(P, Q)
||z−z1|+|z−z2||=K represents hyperbola if |z1−z2|>k.
||z−z1|+|z−z2||=K represents hyperbola if |z1−z2|>k.
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