Q40 of 66 Page 7

If A (3, y) is equidistant from points P (8, -3) and Q (7,6) , find the value of y and find the distance AQ.(CBSE 2014)

Coordinates are P(8, -3) and Q(7,6)


The point A (3, y) is equidistant.


Using distance formula =


⇒ PA = QA



On squaring both sides, we get


=


=


= 1


AQ = = = units

More from this chapter

All 66 →
38

Points A(-1,y) and B(5,7) lie on a circle with centre O(2,-3y). Find the values of y. Hence, find the radius of the circle. (CBSE 2014) 

 39

If (0, - 3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.(CBSE 2014)

 41

Show that the points (a,a) , (-a,-a) and ( - √3a,√3a) are the vertices of an equilateral triangle. (CBSE 2015) 

 42

Find the area of the triangle ABC with A(1,-4) and mid-points of sides through A being (2,-1) and (0,1).(CBSE 2015)