For the following points, write the quadrant in which it lies.(−7,−4)
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Find the locus of a point such that the sum of its distance from the points (0, 2) and (0,−2)
If the coordinates of a variable point P
is a variable quantity, then find the locus of P˙
Find the values of y for which the distance between the points P(2, 3) and Q(10, y)is 10 units.
Prove that the circumcenter, orthocentre, incenter, and centroid of the triangle formed by the points A(−1,11),B(−9,−8),
are collinear, without actually finding any of them.
Find the area of the pentagon whose vertices are A(1,1),B(7,21),C(7,−3),D(12,2),
A straight line passing through P(3,1)
meets the coordinate axes at AandB
. It is given that the distance of this straight line from the origin O
is maximum. The area of triangle OAB
is equal to
Find the relation between x and y if the points A(x,y),B(−5,7) and C(−4,5) are collinear.
Which of the following sets of points form an equilateral triangle?
(d) None of these