For what value of y are points P(1,4),Q(3,y) and R(−3,16) are collinear?
To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown in Figure
. Niharika runs 41 th the distance AD on the 2nd line and posts a green flag. Preet runs 51 th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
In each of the following find the value of k for which the points are collinear.
If (acosθ1,asinθ1),(acosθ2,asinθ2) and (acosθ3,asinθ3) represent the vertices of an equilateral triangle inscribed in a circle, then (a) cosθ1+cosθ2+cosθ3=0 (b) sinθ1+sinθ2+sinθ3=0 (c) tanθ1+tanθ2+tanθ3=0 (d) cotθ1+cotθ2+cotθ3=0
Which of the following sets of points form an equilateral triangle? (1,0),(4,0),(7,−1) (0,0),(23,34),(34,23) (32,),(0,32),(1,1) (d) None of these
If O is the origin and if the coordinates of any two points Q1andQ2 are (x1,y1)and(x2,y2), respectively, prove that OQ1O˙Q2cos∠Q1OQ2=x1x2+y1y2˙