# Distance Formula Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Distance Formula Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as distance formula based questions of coordinate geometry.

**Distance Formula Question and Answer Set 1: Ques No 1**

If (x, y), (1, 1) and (5, 1) are the coordinates of a right triangle with the hypotenuse defined by the points (1, 1) and (5, 1), then the relationship between x and y is

**Options:**

A. (x + 3)^{2} + (y – 1)^{2} = 9

B. (x – 2)^{2} + (y – 1)^{2} = 16

C. (x – 3)^{2} + (y + 1)^{2} = 25

D. (x – 3)^{2} + (y – 1)^{2} = 4

**Answer: D**

**Distance Formula Question and Answer Set 1: Ques No 2**

The relationship between x and y so that (x, y) is equidistant from the two points (-3, 4) and (0, -3) is

**Options:**

A. 6x + 14 y + 16 = 0

B. 6x – 14 y + 16 = 0

C. 6x – 14 y – 16 = 0

D. 6x + 14 y – 16 = 0

**Answer: B**

**Distance Formula Question and Answer Set 1: Ques No 3**

The distance between (*k*,0) and (0, 2*k*) is 10 units, where k > 0. The value of k is

**Options:**

A. 2Root(5)

B. 5Root(3)

C. 4Root(3)

D. 3Root(5)

**Answer: A**

**Distance Formula Question and Answer Set 1: Ques No 4**

The relationship between x and y so that the distance between the points (x, y) and (-2, 4) is equal to 5

**Options:**

A. x^{2} – y^{2} + 4x – 8y = 15

B. x^{2} + y^{2} + 4x + 8y = 7

C. x^{2} + y^{2} + 4x – 8y = 5

D. x^{2} – y^{2} – 4x + 8y = 8

**Answer: C**

**Distance Formula Question and Answer Set 1: Ques No 5**

The coordinates of the vertices of a triangle are (0, 1), (2, 3) and (2, -1). The triangle is a

**Options:**

A. Isosceles Triangle

B. Right Triangle

C. Equilateral Triangle

D. Right Isosceles Triangle

**Answer: D**

**Distance Formula Question and Answer Set 1: Ques No 6**

The distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4, 6) is

**Options:**

A. 4Root(5)

B. 3Root(2)

C. 2Root(3)

D. 4Root(2)

**Answer: D**

**Distance Formula Question and Answer Set 1: Ques No 7**

The distance between the points (2, 3) and (0, 6) is

**Options:**

A. Root(10)

B. Root(13)

C. Root(12)

D. Root(11)

**Answer: B**