is the positive quadrant of the ellipse a2x2+b2y2=1
in which OA=a,OB=b
. Then find the area between the arc AB
and the chord AB
of the ellipse.
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Find the locus of the midpoint of the chords of the circle x2+y2=a2
which subtend a right angle at the point (c,0)˙
If the lines x+y=6andx+2y=4
are diameters of the circle which passes through the point (2, 6), then find its equation.
If two distinct chords, drawn from the point (p, q) on the circle x2+y2=px+qy
are bisected by the x-axis, then
Show that the circles x2+y2−10x+4y−20=0
touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.
Find the number of common tangents that can be drawn to the circles x2+y2−4x−6y−3=0
Find the angle at which the circles x2+y2+x+y=0
Find the center of the smallest circle which cuts circles x2+y2=1
The coordinates of the middle point of the chord cut-off by 2x−5y+18=0
by the circle x2+y2−6x+2y−54=0