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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 17 March 2021, Shift 2, Maths Q80

Question 80 of 90 in this shift, Maths question 20 of 30, Section A.

Let L be a tangent line to the parabola

y^2=4x-20

at (6, 2). If L is also a tangent to the ellipse

\frac{x^2}{2}+\frac{y^2}{b}=1

, then the value of b is equal to :

(1) $11$
(2) $14$ Official answer
(3) $16$
(4) $20$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Condition for Line Tangency

Same idea in other shifts

Asked 2× in all

25 Feb 2021, Shift 1 · Q71A tangent is drawn to the parabola $y^2 = 6x$ which is perpendicular to the line $2x + y = 1$ . Which of the following points does NOT lie…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.