JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-24
question_answer
TP and TQ are tangents to the parabola \[{{y}^{2}}=4ax\] at P and Q. If the chord PQ passes through the fixed point [-a, b] then the locus of T is
A) \[ay=2b(x-b)\]
B) \[bx=2a(y-a)\]
C) \[by=2a(x-a)\]
D) \[ab=2b(y-b)\]
Correct Answer:
C
Solution :
Chord of contact of (h, k) is \[ky\,=2a(x+h)\] . it passes through (-a, b) \[\Rightarrow \,\,bk=2a(-a+h)\] \[\Rightarrow \,\,\] Locus is by \[=2a(x-a)\].