A line is drawn through a fix point P(α,β) to cut the circle x2+y2=r2 at A and B. Then PA.PB is equal to :
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be the vertices of ABC˙
If the centroid of the triangle moves on the line 2x+3y=1,
then find the locus of the vertex C˙
Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.49y2−16x2=784
Find the orthocentre of the triangle whose vertices are (0,0),(3,0),
If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD (see Fig. 10.25).
into a polar equation.
is a variable point on the lines ∣x∣
=6. IF AB≤4
, then find the number of position of B
with integral coordinates.
Given that A(1,1)
are two points and D
is a point on AB
produced such that AD=3AB˙
Find the coordinates of D˙
Find the area of the quadrilateral ABCD
having vertices A(1,1),B(7,−3),C(12,2),