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JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 12 April 2023, Shift 1, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

If the point

\left(\alpha,\frac{7\sqrt{3}}{3}\right)

lies on the curve traced by the mid-points of the line segments of the lines

x\cos\theta+y\sin\theta=7

,

\theta\in\left(0,\frac{\pi}{2}\right)

between the co-ordinates axes, then

\alpha

is equal to

(1) $-7$
(2) $-7\sqrt{3}$
(3) $7$ Official answer
(4) $7\sqrt{3}$

Official answer

Option 3

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Origin Distance to Intercept Form

Same idea in other shifts

Asked 2× in all

6 Apr 2024, Shift 1 · Q10Let a variable line of slope $m>0$ passing through the point $(4,-9)$ intersect the coordinate axes at the points $A$ and $B$ . The minimum…HardSingle 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.