JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 January 2020, Shift 1, Maths Q65

Question 65 of 75 in this shift, Maths question 15 of 25, Section A.

A circle touches the

y

-axis at the point (0, 4) and passes through the point (2, 0). Which of the following lines is not a tangent to this circle ?

(1) $3x-4y-24=0$
(2) $3x+4y-6=0$
(3) $4x+3y-8=0$ Official answer
(4) $4x-3y+17=0$

Official answer

Option 3

NTA final key (Jan 2020).

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Condition of tangency

Same idea in other shifts

Asked 11× in all

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30 Jun 2022, Shift 1 · Q14Consider three circles : $C_1 : x^2 + y^2 = r^2$ $C_2 : (x-1)^2 + (y-1)^2 = r^2$ $C_3 : (x-2)^2 + (y-1)^2 = r^2$ If a line L :…HardSingle correct
31 Aug 2021, Shift 1 · Q86If the variable line $3x+4y=\alpha$ lies between the two circles $(x-1)^2+(y-1)^2=1$ and $(x-9)^2+(y-1)^2=4$ , without intercepting a chord…HardNumerical value
8 Jan 2020, Shift 2 · Q64If a line, $y = mx + \mathrm{c}$ is a tangent to the circle, $(x - 3)^2 + y^2 = 1$ and it is perpendicular to a line $\mathrm{L}_1$ , where…MediumSingle correct
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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.