Learn

Saturday, 31 October

JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 2, Maths Q66

Question 66 of 75 in this shift, Maths question 16 of 25.

Let x=4x=4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is 12\frac{1}{2}. If P(1, β\beta), β>0\beta > 0 is a point on this ellipse, then the equation of the normal to it at P is :
  1. (1)4x−3y=24x-3y=2
  2. (2)4x−2y=14x-2y=1Official answer
  3. (3)8x−2y=58x-2y=5
  4. (4)7x−4y=17x-4y=1

Official answer

Option 2

NTA final key (Sep 2020).

Chapter
Conic Sections
Topic
Normals to Conics
Idea tested
Ellipse Normal Point Form

Same idea in other shifts

Asked 3× in all
  1. 8 Jan 2020, Shift 1 · Q64Let the line y=mxy=mx and the ellipse 2x2+y2=12x^2+y^2=1 intersect at a point P in the first quadrant. If the normal to this ellipse at P meets…MediumSingle correct
  2. 2 Apr 2017 (offline) · Q80The eccentricity of an ellipse whose centre is at the origin is 12\frac{1}{2}. If one of its directrices is x=−4x=-4, then the equation of…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.