JEE Main 2020 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 5 September 2020, Shift 1, Maths Q74

Question 74 of 75 in this shift, Maths question 24 of 25.

If the line,

2x-y+3=0

is at a distance

\frac{1}{\sqrt{5}}

and

\frac{2}{\sqrt{5}}

from the lines

4x-2y+\alpha=0

and

6x-3y+\beta=0

, respectively, then the sum of all possible values of

\alpha

and

\beta

is ________.

Official answer

30.00

NTA final key (Sep 2020).

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Distance between parallel lines

Same idea in other shifts

Asked 4× in all

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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.