Find the equation of the circle with centre (−2,3) and radius 4
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Find the coordinates of the point which divides the line segments joining the points (6,3)
in the ratio 3:2
(i) internally and (ii) externally.
Find the equation for the ellipse that satisfies the given conditions:Length of major axis 26, foci (±5,0)
Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle.
The line joining A(bcosαbsinα)
is produced to the point M(x,y)
so that AM
are in the ratio b:a˙
Then prove that x+ytan(α+2β)=0.
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ=12 cm. Length PQ is :(A) 12 cm (B) 13 cm (C) 8.5 cm (D) 119cm.
Does the point (2,5),(3,5) lie inside, outside or on the circle x2+y2=25?
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.16x2+y2=16
Find the equations of the hyperbola satisfying the given conditions :Foci (±5,0), the transverse axis is of length 8.