Learn

Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 26 February 2021, Shift 1, Maths Q66

Question 66 of 90 in this shift, Maths question 6 of 30, Section A.

In the circle given below, let OA=1OA = 1 unit, OB=13OB = 13 unit and PQ⊥OBPQ \perp OB. Then, the area of the triangle PQBPQB (in square units) is :

The figure, in words

x-axis and y-axis drawn with origin O; a circle drawn through O on the left and through B on the x-axis on the right; a vertical chord PQ (P above the x-axis, Q below) meets the x-axis at A between O and B; triangle PQB is drawn with sides PB, QB and PQ.
  1. (1)24224\sqrt{2}
  2. (2)24324\sqrt{3}Official answer
  3. (3)26226\sqrt{2}
  4. (4)26326\sqrt{3}

Official answer

Option 2

NTA final key.

Chapter
Conic Sections
Topic
Power of a Point
Idea tested
Secant-Tangent Power Theorem

Same idea in other shifts

Asked 2× in all
  1. 5 Apr 2026, Shift 2 · Q11Let the point P be the vertex of the parabola y=x2−6x+12y=x^2-6x+12. If a line passing through the point P intersects the circle…HardSingle correct

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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.