Circle (Part 1/3) JEE Main PYQ + Theory | Prabhat Ranjan

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Circle (Part 1/3) JEE Main PYQ + Theory | Prabhat Ranjan

Circle Question 1-10 (Part 1/3) Class 11, 12 Mathematics Boards, JEE Main, JEE Advanced, IIT JEE Full course from basic JEE Main Question Practice JEE Main PYQ + Theory by Prabhat Ranjan for class 12, boards, IIT JEE 2025, JEE Main 2025, JEE Advanced 2025, IIT JEE 2026, JEE Main 2026, JEE Advanced 2026.

The video "Circle (Part 1/3) JEE Main PYQ + Theory | Prabhat Ranjan" focuses on Circle-related questions from 1-10 for Class 11, 12, and IIT JEE aspirants. This session is part of a full-course series aimed at mastering both theory and previous year questions (PYQs) for JEE Main and Advanced, particularly for the 2025 and 2026 exams. It covers essential circle concepts such as equations of circles, tangents, and properties of circles, with practical question-solving approaches. The video is perfect for students preparing for JEE Main, Advanced, and board exams, with a focus on important problem-solving techniques and shortcuts.

All these aspects have been covered by Prabhat Ranjan in full detail in his new YouTube video.

I am Prabhat Ranjan, currently pursuing B.Tech in Mechanical Engineering from NIT Jamshedpur.

Timeline:
00:00 Introduction
01:43 1) In the circle given below, let OA = 1 unit, OB = 13 unit and PQ ⊥ OB. Then, the area of the triangle PQB (in square units) is
08:56 2) Let R = {(P,Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1,-1) is the set
16:22 3) If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x2 + y2 = 1 is a circle of radius r, then r is equal to
23:20 4) 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
33:27 5) Let the lengths of intercepts on x-axis and y-axis made by the circle x2 + y2 + ax + 2ay + c = 0, (a less than 0)
be 2√2 and 2√5, respectively. Then the shortest distance from origin to a tangent to this circle which
is perpendicular to the line x + 2y = 0, is equal to
44:37 6) Choose the incorrect statement about the two circles whose equations are given below : x2 + y2 – 10x – 10y + 41 = 0 and x2 + y2 – 16x – 10y + 80 = 0 (1) Distance between two centres is the average of radii of both the circles. (2) Both circles' centres lie inside region of one another. (3) Both circles pass through the centre of each other. (4) Circles have two intersection points.
51:16 7) Two tangents are drawn from a point P to the circle x2 + y2 – 2x – 4y + 4 = 0, such that the angle between these tangents is t a n − 1 ( 12 5 ) , 𝑡 𝑎 𝑛 − 1 ( 12 5 ) , where tan − 1 ( 12/5 ) ∈ ( 0, π ) . If the centre of the circle is denoted by C and these tangents touch the circle at points A and B, then the ratio of the areas of Δ PAB and Δ CAB is
01:09:28 8) Let r _(1) and r _(2)be the radii of the largest and smallest circles, respectively, which pass through the point (–4,1) and having their centres on the circumference of the circle x ^(2) + y ^(2) + 2x + 4y - 4 =0 . If (r _(1))/(r _(2)) = a + b sqrt2.then a + b is equal to
01:18:57 9) Let the circle S : 36x2 + 36y2 - 108x + 120y + C = 0 be such that it neither intersects nor touches the co-ordinate axes. If the point of intersection of the lines, x - 2y = 4 and 2x - y = 5 lies inside the circle S, then
01:32:53 10) Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P, Q} is equal to

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