The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is
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Statement 1 :If the lines 2x+3y+19=0
cut the x-axis at A,B
and the y-axis at C,D,
then the points, A,B,C,D
Statement 2 : Since OAxOB=OCxOD,
is the origin, A,B,C,D
into its equivalent Cartesian equation.
If (−6,−4),(3,5),(−2,1) are the vertices of a parallelogram, then the remaining vertex can be (a)(0,−1) (b) 7,9)
(c)(−1,0) (d) (−11,−8)
are the vertices of ABC,
then as α
varies, find the locus of its centroid.
Find the coordinates of the points which divide the line segment joining A(2,2)andB(2,8) into four equal parts.
Prove that the area of the triangle whose vertices are (t,t−2),(t+2,t+2),
is independent of t˙
A light ray emerging from the point source placed at P(2,3)
is reflected at a point Q
on the y-axis. It then passes through the point R(5,10)˙
The coordinates of Q
(d) none of these
The vertices of a triangle are A(x1,x1tanθ1),B(x2,x2tanθ2),
If the circumcenter of ABC
coincides with the origin and H(a,b)
is the orthocentre, show that