RD Sharma Class 11 Solutions Chapter 28 Exercise 28.2 (Updated for 2021-22)

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RD Sharma Solutions Class 11 Maths Chapter 28 Exercise 28.2

RD Sharma Class 11 Solutions has made getting good grades a lot easier. We’ll talk about questions based on the distance formula in Exercise 28.2. Students can use the links mentioned above to access and download RD Sharma Class 11 Solutions.

Access answers to RD Sharma Solutions Class 11 Maths Chapter 28 Exercise 28.2- Important Question with Answers

1. Find the distance between the following pairs of points:
(i) P(1, -1, 0) and Q (2, 1, 2)

(ii) A(3, 2, -1) and B (-1, -1, -1)

Solution:

2. Find the distance between the points P and Q having coordinates (-2, 3, 1) and (2, 1, 2).

Solution:

∴ The Distance between the given two points is √21 units.

3. Using distance formula prove that the following points are collinear:
(i) A(4, -3, -1), B(5, -7, 6) and C(3, 1, -8)

(ii) P(0, 7, -7), Q(1, 4, -5) and R(-1, 10, -9)

(iii) A(3, -5, 1), B(-1, 0, 8) and C(7, -10, -6)
Solution:

Introduction to 3D Coordinate Geometry Ex 28.2 Q3(i)

Introduction to 3D Coordinate Geometry Ex 28.2 Q3(ii)

Introduction to 3D Coordinate Geometry Ex 28.2 Q3(iii)

4. Determine the points in (i) xy-plane (ii) yz-plane and (iii) zx-plane which are equidistant from the points A(1, -1, 0), B(2, 1, 2) and C(3, 2, -1).

Solution:

Introduction to 3D Coordinate Geometry Ex 28.2 Q4(i)

Introduction to 3D Coordinate Geometry Ex 28.2 Q4(ii)

Introduction to 3D Coordinate Geometry Ex 28.2 Q4(iii)

5. Determine the point on the z-axis which is equidistant from the points (1, 5, 7) and (5, 1, -4)

Solution:

6. Find the point on the y-axis which is equidistant from the points (3, 1, 2) and (5, 5, 2).

Solution:

7. Find the points on z-axis which are at a distance√21 from the point (1, 2, 3).

Solution:

8. Prove that the triangle formed by joining the three points whose coordinates are (1, 2, 3), (2, 3, 1) and (3, 1, 2) is an equilateral triangle.

Solution:

9. Show that the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of an isosceles right-angled triangle.

Solution:

10. Show that the points A(3, 3, 3), B(0, 6, 3), C(1, 7, 7) and D(4, 4, 7) are the vertices of squares.

Solution:

Introduction to 3D Coordinate Geometry Ex 28.2 Q11

Introduction to 3D Coordinate Geometry Ex 28.2 Q12

Introduction to 3D Coordinate Geometry Ex 28.2 Q13

Introduction to 3D Coordinate Geometry Ex 28.2 Q14

Introduction to 3D Coordinate Geometry Ex 28.2 Q15

Introduction to 3D Coordinate Geometry Ex 28.2 Q16

Introduction to 3D Coordinate Geometry Ex 28.2 Q17

Introduction to 3D Coordinate Geometry Ex 28.2 Q18

Introduction to 3D Coordinate Geometry Ex 28.2 Q19

Introduction to 3D Coordinate Geometry Ex 28.2 Q20(i)

Introduction to 3D Coordinate Geometry Ex 28.2 Q20(ii)

Introduction to 3D Coordinate Geometry Ex 28.2 Q20(iii)

Introduction to 3D Coordinate Geometry Ex 28.2 Q21

We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 28 Exercise 28.2. If you have any queries related to CBSE Class 11, feel free to ask us in the comment section below.

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