If A(1, 2), B(4, 3) and C(6, 6) are the three vertices of a parallelogramABCD, find the coordinates of the fourth vertex D.
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A rod of length l
slides with its ends on two perpendicular lines. Find the locus of its midpoint.
The sum of the squares of the distances of a moving point from two fixed points (a,0) and (−a,0)
is equal to a constant quantity 2c2˙
Find the equation to its locus.
The points (−a,−b),(a,b),(a2,ab)
(a) vertices of an equilateral triangle
(b) vertices of a right angled triangle
(c) vertices of an isosceles triangle
be two given point. Find the slope of a line perpendicular to AB˙
If A(5, 7), B(−4, −5), C(−1, −6) and D(4, 5)are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
Find the ratio in which the y-axis divides the line segment joining the points (5, 6) and (1,4).
Find the values of y for which the distance between the points P(2, 3) and Q(10, y)is 10 units.
be a variable point such that PA+PB
is the minimum. Then k
7/9 (b) 0 (c) 7/8 (d) none of these