Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length 27 on y-axis is (are)
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Find the centre and radius of the circle x2+y2−8x+10y−12=0
Find the equation of the hyperbola satisfying the give conditions: Vertices (0,± 5) foci (0,± 8)
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 36x2+16y2=1.
The locus of the midde points ofchords of hyperbola 3x2−2y2+4x−6y=0 parallel to y=2x is
Find the equation of the hyperbola satisfying the give conditions: Vertices (±7, 0)e=34
Normal to the ellipse 64x2+49y2=1 intersects the major and minor axes at PandQ , respectively. Find the locus of the point dividing segment PQ in the ratio 2:1.
If PSQ is a focal chord of the ellipse 16x2+25y2=400 such that SP=8, then find the length of SQ. is (a) 21 (b) 94 (c) 98 (d) 916
are the feet of the perpendiculars from the foci S1andS2
of the ellipse 25x2+16y2=1
on the tangent at any point P
on the ellipse, then prove that S1F1+S2F2≥8.