Question

$(x-1)(y-2)=5$ and $(x-1)^2+(y+2)^2=r^2$ intersect at four points $A,B,C,D$. Centroid of $\Delta ABC$ lies on $y=3x-4$, then the locus of $D$

score 322 · Answer 1 · 2026-04-15 19:23:08

322

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$(x-1)(y-2)=5$ and $(x-1)^2+(y+2)^2=r^2$ intersect at four points $A,B,C,D$. Centroid of $\Delta ABC$ lies on $y=3x-4$, then the locus of $D$

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69

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List Question

$(x-1)(y-2)=5$ and $(x-1)^2+(y+2)^2=r^2$ intersect at four points $A,B,C,D$. Centroid of $\Delta ABC$ lies on $y=3x-4$, then the locus of $D$

Vector Distance

Can $n$ circles be drawn such that all have a common intersection but no two intersect individually

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How to derive formula for focus of a parabola?

Find the equation of a hyperbola, given a point on it and the length of the transverse axis

Geometric interpretation for eigenvalues and eigenvectors of the cross product's representation as a linear map

Show that the three distinct points $(p,p^2)$, $(q,q^2)$ and $(r,r^2)$ can never be collinear.

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Suppose you graphed every single point of the form (2t + 3, 3-3t).

Vectors: Using Pythagoras's theorem for magnitude in the 4th dimension

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