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JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 4 August 2021, Shift 1, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

If

(k, 3)

is an interior point of the triangle formed by the lines,

x+y=4

,

x-y=5

and

x-2y+2=0

, then the set of all values of k is the internal

(1) $(3, 4)$
(2) $(3, 8)$
(3) $(4, 8)$ Official answer
(4) $(8, 12)$

Official answer

Option 3

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Position of points relative to line

Same idea in other shifts

Asked 2× in all

2 Sep 2020, Shift 2 · Q64The set of all possible values of $\theta$ in the interval $(0,\pi)$ for which the points $(1,\,2)$ and $(\sin\theta,\cos\theta)$ lie on…MediumSingle 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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.