Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line 4x+y=16.
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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
If three points are A(−2,1)B(2,3),andC(−2,−4)
, then find the angle between ABandBC˙
In what ratio does the x=axis divide the line segment joining the points (2,−3)
and (5, 6)?
If the point (2,3),(1,1),and(x,3x)
are collinear, then find the value of x,
using slope method.
Find the equations of the hyperbola satisfying the given conditions :Foci (0,±13), the conjugate axis is of length 24.
Find the equation for the ellipse that satisfies the given conditions:Vertices (±6,0), foci (±4,0)
Find the equations of the hyperbola satisfying the given conditions :Foci (±4,0), the latus rectum is of length 12
Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.