Shift the origin to a suitable point so that the equation y2+4y+8x−2=0
will not contain a term in y
and the constant term.
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Find the centre and the radius of the circle x2+y2+8x+10y−8=0.
Orthocenter and circumcenter of a DeltaABC
, respectively. If the coordinates of the vertex A
then find the coordinates of the middle point of BC˙
An equilateral triangle is inscribed in the parabola y2=4ax where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
Find the orthocentre of ΔABC with vertices A(1,0),B(−2,1), and C(5,2)
be the vertices of ABC˙
If the centroid of the triangle moves on the line 2x+3y=1,
then find the locus of the vertex C˙
Find the equation for the ellipse that satisfies the given conditions:Foci (±3,0),a=4
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.4x2+25y2=1
Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.49y2−16x2=784