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Straight Lines and Pair of Straight Lines question

2022 · 27 Jul · Shift 2 · Q31
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  5. /2022 · 27 Jul · Shift 2 · Q31

Straight Lines and Pair of Straight Lines question

2022 · 27 Jul · Shift 2 · Q31

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
The equations of the sides AB,BC\mathrm{AB}, \mathrm{BC}AB,BC and CA of a triangle ABC are 2x+y=0,x+py=392 x+y=0, x+\mathrm{p} y=392x+y=0,x+py=39 and x−y=3x-y=3x−y=3 respectively and P(2,3)\mathrm{P}(2,3)P(2,3) is its circumcentre. Then which of the following is NOT true?
  1. A
    (AC)2=9p(\mathrm{AC})^{2}=9 \mathrm{p}(AC)2=9p
  2. B
    (AC)2+p2=136(\mathrm{AC})^{2}+\mathrm{p}^{2}=136(AC)2+p2=136
  3. C
    32<area⁡ (ΔABC)<3632\lt \operatorname{area}\,(\Delta \mathrm{ABC})\lt 3632<area(ΔABC)<36
  4. D
    34<area⁡ (△ABC)<3834\lt \operatorname{area}\,(\triangle \mathrm{ABC})\lt 3834<area(△ABC)<38
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