For the following points, write the quadrant in which it lies.(11,6)
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Point P(5,−3)is one of the two points of trisection of the line segment joining the points A(7,−2)andB(1,−5)near to A. Find the coordinates of the other point of trisection.
Find the distance between the points:A(7,−4) and B(−5,1).
If Q(0,1) is equidistant from P(5,−3) and R(x,6), find the values of x. Also find the distances QR and PR.
Find the point of the x-axis which is equidistant from (2,−5) and (−2,9).
The area of a triangle is 5 sq units. Two of its vertices are (2,1) and (3,−2). If the third vertex is (7/2,y), find the value of y.
A train travels at a certain average speed for a distance of 54 km and then travels a distanceof 63 km at an average speed of 6 km/h more than the first speed. If it takes 3 hours tocomplete the total journey, what is its first speed?
If P(2,p) is the mid-point of the line segment joining the points A(6, -5)and B(-2, 11), find the value of p
Show that the points A(3,0),B(6,4) and C(−1,3) are the vertices of an isosceles right triangle.