JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2024, Shift 1, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

If the orthocentre of the triangle formed by the lines

2x+3y-1=0

x+2y-1=0

and

ax+by-1=0

, is the centroid of another triangle, whose circumcentre and orthocentre respectively are

(3,4)

and

(-6,-8)

, then the value of

|a-b|

is ____________.

Official answer

NTA final key.

Chapter: Straight Lines
Topic: Properties of Triangles
Idea tested: Euler Line Collinearity and Ratios

Same topic in other shifts

All Properties of Triangles questions

6 Apr 2024, Shift 2 · Q30In a triangle $ABC$ , $BC=7$ , $AC=8$ , $AB=\alpha\in\mathbb{N}$ and $\cos A=\frac{2}{3}$ . If $49\cos(3C)+42=\frac{m}{n}$ , where…MediumNumerical value
29 Jan 2024, Shift 1 · Q14Let $\left(5,\frac{a}{4}\right)$ be the circumcenter of a triangle with vertices $A(a,-2)$ , $B(a,6)$ and $C\left(\frac{a}{4},-2\right)$ .…MediumSingle correct
16 Mar 2021, Shift 2 · Q82In $\triangle$ ABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of $\triangle$ ABC is 30 $\mathrm{cm^2}$ …MediumNumerical value

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.