JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 February 2021, Shift 2, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

Let

A(1, 4)

and

B(1, -5)

be two points. Let

P

be a point on the circle

(x-1)^2+(y-1)^2=1

such that

(PA)^2+(PB)^2

have maximum value, then the points,

P

A

and

B

lie on :

(1)an ellipse
(2)a hyperbola
(3)a parabola
(4)a straight lineOfficial answer

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Maximum and Minimum Distance to a Circle

Same idea in other shifts

Asked 3× in all

5 Apr 2024, Shift 1 · Q13Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point $(3, 2)$ and parallel to the…MediumSingle correct
5 Apr 2024, Shift 2 · Q24Let the maximum and minimum values of $\left(\sqrt{8x-x^2-12}-4\right)^2 + (x-7)^2$ , $x \in R$ be $M$ and $m$ , respectively. Then…HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.