NCERT Class 10 Chapter 4 Coordinate Geometry Official CBSE Board Sample Problems Very Short Answer (For CBSE, ICSE, IAS, NET, NRA 2022)

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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