A triangle with vertices P(2,5), Q(5,2) and R(-1,-1) is inscribed in the rectangular hyperbola x y-x-y-3=0 and let H \equiv(\lambda, \lambda) is orthocentre of ∆ P Q R, let A, B and C be the feet of perpendicular from P, Q and Q R, R P and P Q respectively and r is in radius of \triangle A B C, then

Circumcentre of ∆ P Q R is (-\frac{3}{2},-\frac{3}{2})

Incentre of \triangle A B C is (3,3)

Equation of A B is x+y-\frac{26}{5}=0

JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

Question : 42 of 54

Marks: +1, -0

A triangle with vertices P(2,5),Q(5,2) and R(−1,−1) is inscribed in the rectangular hyperbola xy−x−y−3=0 and let H≡(λ,λ) is orthocentre of ∆PQR, let A,B and C be the feet of perpendicular from P,Q and QR,RP and PQ respectively and r is in radius of △ABC, then

Circumcentre of ∆PQR is (−‌
3
2
,−‌
3
2
)
Incentre of △ABC is (3,3)
Equation of AB is x+y−‌
26
5
=0
r=‌
2√2
5

Validate

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