NCERT Class 10 Chapter 4 Coordinate Geometry Official CBSE Board Sample Problems Very Short Answer
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Question
The x-coordinate of a point P is twice its y-coordinate. If P is equidistant from and find the coordinates of P.
Solution

Equidistant
Let the required point be
Let and are given points.
Now,
[using Distance formula. ]
Squaring both sides we get
Hence coordinates of P are (16. 8)
Question
Find the ratio in which y-axis divides the line segment joining the points and and find the point
Solution

The Line Segment Joining
Let the point on y-axis be and.
Co-ordinates of P given by:
Then, taking x-axis of AB;
Hence the required ratio is 5: 1
Now, taking y-axis,
Hence point ony-axis is
Question
Find the coordinates of a point A, where AB is the diameter of a circle whose center is and B is
Solution
Let the coordinates of A be (x, y)
and
Question
Find the distance between
and
Solution
Question
is the midpoint of the line segment joining the points and then the value of a is:
(a) -8
(b) 3
(C) -4
(d) 4
Solution
-8