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
10 Apr 2023, Shift 2 · Q30In the figure, $\theta_1 + \theta_2 = \frac{\pi}{2}$ and $\sqrt{3}\,(BE) = 4(AB)$ . If the area of $\Delta CAB$ is $2\sqrt{3} - 3$ …HardNumerical valueHas a figure
12 Apr 2023, Shift 1 · Q19In a triangle ABC, if $\cos A+2\cos B+\cos C=2$ and the lengths of the sides opposite to the angles A and C are $3$ and $7$ respectively,…HardSingle correct
29 Jul 2022, Shift 1 · Q13Let the circumcentre of a triangle with vertices $A(a, 3)$ , $B(b, 5)$ and $C(a, b)$ , $ab > 0$ be $P(1, 1)$ . If the line AP intersects the…HardSingle correct
29 Jul 2022, Shift 2 · Q13Let A $(\alpha,-2)$ , B $(\alpha, 6)$ and C $\left(\frac{\alpha}{4},-2\right)$ be vertices of a $\Delta$ ABC. If…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.