The locus of the foot of perpendicular drawn from the centre of the ellipse x2+3y2=6on any tangent to it is
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Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.x2=6y
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.16x2+y2=16
Find the coordinates of the circumcenter of the triangle whose vertices are (A(5,−1),B(−1,5),
Find its radius also.
Find the centre and radius of the circles2x2+2y2−x=0
Find the orthocentre of the triangle whose vertices are (0,0),(3,0),
Find the locus of the foot of perpendicular from the point (2, 1) on the variable line passing through the point (0, 0).
XYand XprimeYprimeare two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XYat A and XprimeYprimeat B. Prove that ∠AOB = 90o