JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 June 2022, Shift 1, Maths Q13

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

Let the normal at the point P on the parabola

y^2 = 6x

pass through the point

(5, -8)

. If the tangent at P to the parabola intersects its directrix at the point Q, then the ordinate of the point Q is :

(1) $-3$
(2) $-\frac{9}{4}$ Official answer
(3) $-\frac{5}{2}$
(4) $-2$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Normals to Conics
Idea tested: Parabola Normal Parametric Form

Same topic in other shifts

All Normals to Conics questions

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26 Jul 2022, Shift 1 · Q13Let the tangent drawn to the parabola $y^2 = 24x$ at the point $(\alpha,\ \beta)$ is perpendicular to the line $2x + 2y = 5$ . Then the…MediumSingle correct
26 Jul 2022, Shift 1 · Q29Let the function $f(x) = 2x^2 - \log_e x$ , $x > 0$ , be decreasing in $(0,\ \mathrm{a})$ and increasing in $(\mathrm{a},\ 4)$ . A tangent to…HardNumerical value
25 Jun 2022, Shift 2 · Q29Let the eccentricity of the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ be $\frac{5}{4}$ . If the equation of the normal at the point…HardNumerical 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 108 of the 174 JEE Main shifts held from 2017 to 2026.