JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 10 April 2023, Shift 2, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Let the equations of two adjacent sides of a parallelogram ABCD be

2x - 3y = -23

and

5x + 4y = 23

. If the equation of its one diagonal AC is

3x + 7y = 23

and the distance of A from the other diagonal is d, then

50\,d^2

is equal to ___________.

Official answer

529

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Area of Parallelogram via Parallel Distances

Same topic in other shifts

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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.