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Parabola question

2022 · 26 Jul · Shift 2 · Q23
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  5. /2022 · 26 Jul · Shift 2 · Q23

Parabola question

2022 · 26 Jul · Shift 2 · Q23

JEE MainMathematicsParabolaMCQ+4 / −1
Let P\mathrm{P}P and Q\mathrm{Q}Q be any points on the curves (x−1)2+(y+1)2=1(x-1)^{2}+(y+1)^{2}=1(x−1)2+(y+1)2=1 and y=x2y=x^{2}y=x2, respectively. The distance between PPP and QQQ is minimum for some value of the abscissa of PPP in the interval :
  1. A
    (0,14)\left(0, \frac{1}{4}\right)(0,41​)
  2. B
    (12,34)\left(\frac{1}{2}, \frac{3}{4}\right)(21​,43​)
  3. C
    (14,12)\left(\frac{1}{4}, \frac{1}{2}\right)(41​,21​)
  4. D
    (34,1)\left(\frac{3}{4}, 1\right)(43​,1)
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