Find the equation of the circle passing through the points (2,3)and (−1,1)and whose centre is on the line x−3y−11=0.
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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.25x2+100y2=1
Find the equations of the hyperbola satisfying the given conditions :Vertices (±2,0),foci(±3,0)
A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.
Find the orthocentre of the triangle whose vertices are (0,0),(3,0),
Find the equation of the parabola with focus (2, 0) and directrix x=−2.
Find the equation for the ellipse that satisfies the given conditions:Major axis on the x–axis and passes through the points (4, 3) and (6, 2).
Find the equation of the circle which passes through the points (2,−2), and (3,4) and whose centre lies on the line x+y=2.
Prove that the point (−2,−1),(1,0),(4,3)and(1,2)
are the vertices of parallel-gram. Is it a rectangle?