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Friday, 9 October

JEE Main 2020 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 6 September 2020, Shift 2, Maths Q64

Question 64 of 75 in this shift, Maths question 14 of 25.

Let L denote the line in the xyxy-plane with xx and yy intercepts as 3 and 1 respectively. Then the image of the point (−1,−4)(-1,-4) in this line is :
  1. (1)(85,295)\left(\frac{8}{5},\frac{29}{5}\right)
  2. (2)(295,85)\left(\frac{29}{5},\frac{8}{5}\right)
  3. (3)(295,115)\left(\frac{29}{5},\frac{11}{5}\right)
  4. (4)(115,285)\left(\frac{11}{5},\frac{28}{5}\right)Official answer

Official answer

Option 4

NTA final key (Sep 2020).

Chapter
Straight Lines
Topic
Straight Line Distance
Idea tested
Image of a point in a line

Same idea in other shifts

Asked 3× in all
  1. 9 Apr 2024, Shift 1 · Q14A ray of light coming from the point P(1,2)P(1,2) gets reflected from the point Q on the xx-axis and then passes through the point R(4,3)R(4,3).…MediumSingle correct
  2. 29 Jan 2024, Shift 1 · Q15In a ΔABC\Delta ABC, suppose y=xy=x is the equation of the bisector of the angle BB and the equation of the side ACAC is 2x−y=22x-y=2. If…HardSingle 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 42 of the 174 JEE Main shifts held from 2017 to 2026.