Let PQR be a right angled isosceles triangle right angled at P (2$$, $$1). If the equation of the line QR is $$2x$$ $$+$$ y $$=$$ $$3$$, then the equations representing the pair of lines PQ and PR is

Question

Let PQR be a right angled isosceles triangle right angled at P (2$$, $$1). If the equation of the line QR is $$2x$$ $$+$$ y $$=$$ $$3$$, then the equations representing the pair of lines PQ and PR is

Infinity Learn · Accepted Answer

Let the slopes of PQ and PR be m and $$-1/m$$ respectively. Since PQR is an isosceles triangle  P Q $$R=$$ PRQ $$m+21-2m=-1m+21+2m$$[∵ slope of QR $$=$$ – $$2$$]⇒ m $$+$$ $$2$$ $$=$$ ± (1$$ – $$2m) fi m $$=$$ $$3$$ or – $$1/3So$$ the equations of PQ and PR $$are(y-1)=3(x-2)$$ and $$y-1=(-1/3)(x-2)$$       ⇒  $$3x-y=5$$,$$x+3y=5$$

Let $P Q R$ be a right angled isosceles triangle right angled at $P$ (2, 1). If the equation of the line $Q R$ is $2 x + y = 3$ , then the equations representing the pair of lines $P Q$ and $P R$ is

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Let PQR be a right angled isosceles triangle right angled at P (2, 1). If the equation of the line QR is 2x + y = 3, then the equations representing the pair of lines PQ and PR is

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Let $P Q R$ be a right angled isosceles triangle right angled at $P$ (2, 1). If the equation of the line $Q R$ is $2 x + y = 3$ , then the equations representing the pair of lines $P Q$ and $P R$ is