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

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 16A.

**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

**Question 1.**

**Solution:**

(i) A (9, 3) and B (15, 11)

**Question 2.**

**Solution:**

Distance from origin O (0, 0) and the given points (x, y) = √(x² + y²)

**Question 3.**

**Solution:**

Points A (x, -1), B (5, 3) and AB = 5 units

**Question 4.**

**Solution:**

Points A (2, -3), B (10, y) and AB = 10

**Question 5.**

**Solution:**

Points P (x, 4), Q (9, 10) and PQ = 10

**Question 6.**

**Solution:**

Point A (x, 2) is equidistant from B (8, -2 and C (2, -2)

**Question 7.**

**Solution:**

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

Then AB = AC

**Question 8.**

**Solution:**

Let point P (x, 0) is on x-axis and P is equidistant from A (2, -5) and B (-2, 9)

**Question 9.**

**Solution:**

Let the points on x-axis be P (x,, 0) and Q (x2, 0) and A (11, -8)

or x – 5 = 0, then x = 5

Points are (17, 0) and (5, 0)

**Question 10.**

**Solution:**

Let point P (0, y) is on the y-axis, then

**Question 11.**

**Solution:**

P (x, y) is equidistant from A (5, 1) and B (-1, 5)

**Question 12.**

**Solution:**

P (x, y) is equidistant from A (6, -1) and B (2, 3)

**Question 13.**

**Solution:**

Let the coordinates of the points be O (x, y)

**Question 14.**

**Solution:**

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

**Question 15.**

**Solution:**

Point C (-2, 3) is equidistant from points A (3, -1) and B (x, 8)

**Question 16.**

**Solution:**

Point P (2, 2) is equidistant from the two points A (-2, k) and B (-2k, -3)

**Question 17.**

**Solution:**

(i) Let point P (x, y) is equidistant from A (a + b, b – a) and B (a – b, a + b), then

**Question 18.**

**Solution:**

We know that if the sum of any two of these distances is equal to the distance of the third, then the points are collinear.

Now, (i) Let the points are A (1, -1), B (5, 2), C (9, 5)

**Question 19.**

**Solution:**

The points are A (7, 10), B (-2, 5) apd C (3, -4)

**Question 20.**

**Solution:**

Points are A (3, 0), B (6, 4) and C (-1, 3)

**Question 21.**

**Solution:**

Points are A (5, 2), B (2, -2) and C (-2, t)

**Question 22.**

**Solution:**

Points are A (2, 4), B (2, 6) and C (2 + √3, 5)

**Question 23.**

**Solution:**

Let the points are A (-3, -3), B (3, 3), C (-3√3, 3√3)

**Question 24.**

**Solution:**

Points are A (-5, 6), B (3, 0), C (9, 8)

**Question 25.**

**Solution:**

Points are O (0, 0), A (3, √3) and B (3, -√3)

**Question 26.**

**Solution:**

(i) Points are A (3, 2), B (0, 5), C (-3, 2), D (0, -1)

**Question 27.**

**Solution:**

Points are A (-3, 2), B (-5, -5), C (2, -3), D (4, 4)

**Question 28.**

**Solution:**

Points are A (3, 0), B (4, 5), C (-1, 4) and D (-2, -1)

**Question 29.**

**Solution:**

Points are A (6, 1), B (8, 2), C (9, 4) and D (7, 3)

**Question 30.**

**Solution:**

Points are A (2, 1), B (5, 2), C (6, 4) and D (3, 3)

**Question 31.**

**Solution:**

Points are A (1, 2), B (4, 3), C (6, 6) and D (3, 5)

**Question 32.**

**Solution:**

(i) Points are A (-4, -1), B (-2, -4), C (4, 0) and D (2, 3)

**Question 33.**

**Solution:**

**Question 34.**

**Solution:**

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

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