QJEEM22Maae60: JEE Main 2022 Mathematics - Class 11 JEEM22Maae60 Solution: The equations of the sides AB , BC and CA of a triangle ABC are …

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QJEEM22Maae60: JEE Main 2022 Mathematics - Class 11 JEEM22Maae60 Solution: The equations of the sides AB , BC and CA of a triangle ABC are …

The equations of the sides $AB, BC$ and CA of a triangle ABC are $2 x + y = 0, x + p y = 39$ and $x - y = 3$ respectively and $P (2, 3)$ is its circumcentre. Then which of the following is NOT true?

Multiple Choice Options

A (AC)2=9p
B (AC)2+p2=136
C 32
D 34

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Accepted Answer

Intersection of $2 x + y = 0$ and $x - y = 3 : A (1, - 2)$

JEE Main 2022 (Online) 27th July Evening Shift Mathematics - Straight Lines and Pair of Straight Lines Question 49 English Explanation

Equation of perpendicular bisector of AB is

$x - 2 y = - 4$

Equation of perpendicular bisector of AC is

$x + y = 5$

Point B is the image of A in line $x - 2 y + 4 = 0$ which is obtained as $B (\frac{- 13}{5}, \frac{26}{5})$

Similarly vertex $C : (7, 4)$

Equation of line $B C : x + 8 y = 39$

So, $p = 8$

$A C = \sqrt{{(7 - 1)}^{2} + {(4 + 2)}^{2}} = 6 \sqrt{2}$

Area of triangle $A B C = 32.4$

QJEEM22Maae60: JEE Main 2022 Mathematics - Class 11 JEEM22Maae60 Solution: The equations of the sides AB , BC and CA of a triangle ABC are …

Multiple Choice Options

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