JEE Main & Advanced
Mathematics
Conic Sections
Question Bank
Parabola
question_answer
The focal chord to \[{{y}^{2}}=16x\] is tangent to \[{{(x-6)}^{2}}+{{y}^{2}}=2\], then the possible value of the slope of this chord, are [IIT Screening 2003]
A) \[\{-1,\ 1\}\]
B) {?2, 2}
C) {-2, 1/2}
D) {2, ?1/2}
Correct Answer:
A
Solution :
From diagram, \[\theta ={{45}^{o}}\] Þ Slope = \[\pm 1\].