JEE Main 2020 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 2 September 2020, Shift 1, Maths Q74

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

The number of integral values of k for which the line,

3x+4y=k

intersects the circle,

x^{2}+y^{2}-2x-4y+4=0

at two distinct points is ___________.

Official answer

9.00

NTA final key (Sep 2020).

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Condition of tangency

Same idea in other shifts

Asked 2× in all

29 Jan 2024, Shift 1 · Q27Equations of two diameters of a circle are $2x-3y=5$ and $3x-4y=7$ . The line joining the points $\left(-\frac{22}{7},-4\right)$ and…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.