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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 16 March 2021, Shift 2, Maths Q62

Question 62 of 90 in this shift, Maths question 2 of 30, Section A.

Let the lengths of intercepts on xx-axis and yy-axis made by the circle x2+y2+ax+2ay+c=0x^2+y^2+ax+2ay+c=0, (a<0a<0) be 222\sqrt2 and 252\sqrt5, respectively. Then the shortest distance from origin to a tangent to this circle which is perpendicular to the line x+2y=0x+2y=0, is equal to :
  1. (1)10\sqrt{10}
  2. (2)11\sqrt{11}
  3. (3)7\sqrt7
  4. (4)6\sqrt6Official answer

Official answer

Option 4

NTA final key.

Chapter
Conic Sections
Topic
Circle Tangents
Idea tested
Tangent Parallel or Perpendicular to a Line

Same topic in other shifts

All Circle Tangents questions
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  4. 8 Apr 2024, Shift 1 · Q15Let the circles C1:(x−α)2+(y−β)2=r12C_1:(x-\alpha)^2+(y-\beta)^2=r_1^2 and C2:(x−8)2+(y−152)2=r22C_2:(x-8)^2+\left(y-\frac{15}{2}\right)^2=r_2^2 touch each other externally at…MediumSingle correct
  5. 9 Apr 2024, Shift 1 · Q29Let the centre of a circle, passing through the points (0,0)(0,0), (1,0)(1,0) and touching the circle x2+y2=9x^2+y^2=9, be (h,k)(h,k). Then for all…HardNumerical value
  6. 29 Jan 2024, Shift 1 · Q27Equations of two diameters of a circle are 2x−3y=52x-3y=5 and 3x−4y=73x-4y=7. The line joining the points (−227,−4)\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.