For the following points, write the quadrant in which it lies.(1,−4)
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A variable line through the point P(2,1)
meets the axes at AandB
. Find the locus of the centroid of triangle OAB
is the origin).
are the vertices of ABC,
then as α
varies, find the locus of its centroid.
Prove that the points (−2,−1),(1,0),(4,3),
and (1,2) are the vertices of a parallelogram. Is it a rectangle?
Find a relation between x and y such that the point (x ,y) is equidistant from the points (7, 1) and (3, 5).
Find the coordinates of the circumcenter of the triangle whose vertices are (A(5,−1),B(−1,5),
Find its radius also.
If a triangle ABC,A≡(1,10),
and orthocentre ≡(411,34)
, then the coordinates of the midpoint of the side opposite to A
The vertices of a triangle are A(−1,−7),B(5,1)andC(1,4)˙
If the internal angle bisector of ∠B
meets the side AC
then find the length AD˙
The vertices of a triangle are [at1t2,a(t1+t2)], [at2t3,a(t2+t3)], [at3t1,a(t3+t1)] Then the orthocenter of the triangle is (a) (−a,a(t1+t2+t3)−at1t2t3) (b) (−a,a(t1+t2+t3)+at1t2t3) (c) (a,a(t1+t2+t3)+at1t2t3) (d) (a,a(t1+t2+t3)−at1t2t3)