JEE Main 2022 · 30 Jun · Shift 1 · Mathematics Q27

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MathematicsInteger+4 / -1Question 27 of 90

Let PQ be a focal chord of length 6.25 units of the parabola $y^2=4x$ . If O is the vertex of the parabola, then 10 times the area (in sq. units) of $\Delta$ POQ is equal to ______.

Your answer

Answer and worked solution

Official answer: 25

Focal chord length $\left(t+\frac1t\right)^2=6.25$ : $t=2$ . Ends $(4,4)$ and $\left(\frac14,-1\right)$ .

Area $\frac12|4(-1)-4\cdot\frac14|=\frac52$ ; ten times is 25.

Answer: 25

Topics:Parabola

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JEE Main 2022 · 30 Jun · Shift 1, Mathematics question 27