The common tangents to the circle x2+y2=2 and the parabola y2=8x touch the circle at P,Q andthe parabola at R,S. Then area of quadrilateral PQRS is
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Find the area of the triangle whose vertices are (i) (2,3),(–1,0),(2,–4) (ii) (–5,–1),(3,–5),(5,2)
Let 0≡(0,0),A≡(0,4),B≡(6,0)˙ Let P be a moving point such that the area of triangle POA is two times the area of triangle POB . The locus of P will be a straight line whose equation can be
A variable line through point P(2,1)
meets the axes at AandB
. Find the locus of the circumcenter of triangle OAB
is the origin).
if the orthocentre is (1,2)
and the circumcenter is (0, 0), then centroid of ABC)
(d) none of these
Find the orthocentre of ΔABC with vertices A(1,0),B(−2,1), and C(5,2)
are two vertices of a triangle of area 4squ˙nits,
then its third vertex lies on
y=x (b) 5x+y+12=0
is a variable line sliding between the coordinate axes in such a way that A
lies on the x-axis and B
lies on the y-axis. If P
is a variable point on AB
such that PA=b,Pb=a
, and AB=a+b,
find the equation of the locus of P˙
Find the area of a triangle formed by the points A(5, 2), B(4, 7) and C(7,4)˙