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Friday, 9 October

JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 29 January 2024, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Equations of two diameters of a circle are 2x−3y=52x-3y=5 and 3x−4y=73x-4y=7. The line joining the points (−227,−4)\left(-\frac{22}{7},-4\right) and (−17,3)\left(-\frac{1}{7},3\right) intersects the circle at only one point P(α,β)P(\alpha,\beta). Then, 17β−α17\beta-\alpha is equal to ______.

Official answer

2

NTA final key.

Chapter
Conic Sections
Topic
Circle Tangents
Idea tested
Condition of tangency

Same idea in other shifts

Asked 2× in all
  1. 2 Sep 2020, Shift 1 · Q74The number of integral values of k for which the line, 3x+4y=k3x+4y=k intersects the circle, x2+y2−2x−4y+4=0x^{2}+y^{2}-2x-4y+4=0 at two distinct points is…MediumNumerical 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 42 of the 174 JEE Main shifts held from 2017 to 2026.