JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2023, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

If the tangents at the points P and Q on the circle

x^2+y^2-2x+y=5

meet at the point

R\left(\frac{9}{4},2\right)

, then the area of the triangle PQR is:

(1) $\frac{13}{8}$
(2) $\frac{13}{4}$
(3) $\frac{5}{8}$ Official answer
(4) $\frac{5}{4}$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Area of Tangent-Chord Triangle

Same topic in other shifts

All Circle Tangents questions

6 Apr 2026, Shift 2 · Q10Let C be a circle having centre in the first quadrant and touching the $x$ -axis at a distance of 3 units from the origin. If the circle C…MediumSingle correct
2 Apr 2025, Shift 1 · Q22The absolute difference between the squares of the radii of the two circles passing through the point $(-9, 4)$ and touching the lines…HardNumerical value
7 Apr 2025, Shift 1 · Q12Let $C_1$ be the circle in the third quadrant of radius 3, that touches both coordinate axes. Let $C_2$ be the circle with centre $(1, 3)$ …MediumSingle correct
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 · Q14Let $ABCD$ and $AEFG$ be squares of side 4 and 2 units, respectively. The point $E$ is on the line segment $AB$ and the point $F$ is on…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.