## RS Aggarwal Class 10 Solutions Chapter 16 Co-ordinate Geometry Ex 16D

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16D.

**Other Exercises**

- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16A
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16B
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16C
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16D
- RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry MCQS

**Very-Short-Answer Questions**

**Question 1.
**

**Solution:**

Points are A (-1, y), B (5, 7) and centre O (2, -3y).

Points A and B lie on the circle with centre O.

or y + 1 = 0, then y = -1

y = -1, 7

**Question 2.**

**Solution:**

Point A (0, 2) is equidistant from B (3, p) and also from C (p, 5)

**Question 3.**

**Solution:**

Three vertices of a rectangle ABCD are B (4, 0), C (4, 3) and D (0, 3)

Its diagonal are equal.

**Question 4.**

**Solution:**

Point P (k – 1, 2) is equidistant from two points A (3, k) and B (k, 5)

**Question 5.**

**Solution:**

Let P (x, 2) divides the join of A (12, 5) and B (4, -3) in the ration m : n.

**Question 6.**

**Solution:**

**Question 7.**

**Solution:**

Vertices of ∆ABC are A (7, -3), B (5, 3) and C (3, -1)

**Question 8.**

**Solution:**

Point C (k, 4) divides the join of A (2, 6) and B (5, 1) in the ratio 2 : 3

**Question 9.**

**Solution:**

Let a point P (x, 0) on x-axis is equidistant from two points A (-1, 0) and B (5, 0)

**Question 10.**

**Solution:**

Distance between two points

**Question 11.**

**Solution:**

The points (3, a) lies on the line 2x – 3y = 5

It will satisfy it.

2 x 3 – 3 x a = 5

6 – 3a = 5 => 3a = 6 – 5 = 1

a = \(\frac { 1 }{ 3 }\)

**Question 12.**

**Solution:**

Points A (4, 3) and B (x, 5) lie on the circle with centre O (2, 3)

OA = OB

**Question 13.**

**Solution:**

P (x, y) is equidistant from the point A (7, 1) and B (3, 5)

**Question 14.**

**Solution:**

O (0, 0) is the centroid of ∆ABC whose vertices are A (a, b), B (b, c) and C (c, a)

**Question 15.**

**Solution:**

Coordinates of centroid

**Question 16.**

**Solution:**

Let point P (4, 5) divides the join of A (2, 3) and B (7, 8) in the ratio m : n

**Question 17.**

**Solution:**

Points are given A (2, 3), B (4, k) and C (6, -3)

Points are collinear.

Hope given RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16D are helpful to complete your math homework.

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