Find the center, foci, the length of the axes, and the eccentricity of the ellipse 2x2+3y2−4x−12y+13=0
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Find the equations of the hyperbola satisfying the given conditions :Foci (0,±10), passing through (2,3)
Find the equation of the hyperbola where foci are (0,±12)and the length of the latus rectum is 36.
The vertices of a triangle are A(−1,−7),B(5,1)andC(1,4)˙
If the internal angle bisector of ∠B
meets the side AC
then find the length AD˙
A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.
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.
Find the equation for the ellipse that satisfies the given conditions:b = 3, c = 4, centre at the origin; foci on a x axis.
Find the area of the pentagon whose vertices are A(1,1),B(7,21),C(7,−3),D(12,2),
Find the equation for the ellipse that satisfies the given conditions:Ends of major axis (±3,0), ends of minor axis (0,±2)