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Question: Answered & Verified by Expert
If ( 9a,6a ) is a point bounded in the region formed by parabola y 2 =16x and x=9, then
MathematicsParabolaJEE Main
Options:
  • A a∈(0,1)
  • B a<14
  • C a<1
  • D 0<a<4
Solution:
2693 Upvotes Verified Answer
The correct answer is: a∈(0,1)
Since, the point ( 9a,6a ) is bounded in the region formed by the parabola y 2 =16 and x=9, then



y2−16x<0, x−9<0

⇒36a2−169a<0, 9a−9<0

36a(a−4)<0,  9a−9<0

0<a<4, a<1⇒0<a<1

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