# 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

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

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