JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 5 April 2024, Shift 2, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let a line perpendicular to the line

2x-y=10

touch the parabola

y^2=4(x-9)

at the point

P

. The distance of the point

P

from the centre of the circle

x^2+y^2-14x-8y+56=0

is ________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Tangents and Normals
Idea tested: Point of Tangency from Given Slope

Same topic in other shifts

All Tangents and Normals questions

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27 Jul 2022, Shift 2 · Q29A common tangent T to the curves $C_1 : \frac{x^2}{4} + \frac{y^2}{9} = 1$ and $C_2 : \frac{x^2}{42} - \frac{y^2}{143} = 1$ does not pass…HardNumerical 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 108 of the 174 JEE Main shifts held from 2017 to 2026.