JEE Main 2022 · 25 Jul · Shift 2 · Mathematics Q13

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MathematicsSingle correct+4 / -1Question 13 of 90

The tangents at the points $A(1,3)$ and $B(1,-1)$ on the parabola $y^2-2x-2y=1$ meet at the point P. Then the area (in unit $^2$ ) of the triangle PAB is:

Answer and worked solution

Official answer: D

Tangents. At $A$ : $2y-x=5$ ; at $B$ : $2y+x=-1$ . They meet at $P(-3,1)$ .

Area. $AB=4$ on $x=1$ , height 4: area 8.

(D)

Topics:Tangents and normals to conics Parabola

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JEE Main 2022 · 25 Jul · Shift 2, Mathematics question 13