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

In this chapter, we provide RS Aggarwal Solutions for Class 10 Chapter 16 Co-ordinate Geometry Ex 16 D Maths for English medium students, Which will very helpful for every student in their exams. Students can download the latest RS Aggarwal Solutions for Class 10 Chapter 16 Co-ordinate Geometry Ex 16 D Maths pdf, free RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry Ex 16 D Maths book pdf download. Now you will get step by step solution to each question.

TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 16
Chapter NameCoordinate Geometry
Exercise16 D
CategoryRS Aggarwal Solutions

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

Question 1:
Distance between the points RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 1.1
RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 1.2

Question 2:
The points (3, a) lies on the line 2x – 3y = 5.
Substituting the values of x and y in the given equation:
2 × 3 – 3 × a = 5 or 6 – 3a = 5
⇒ 3a = 1
⇒ a = 13

Question 3:
The points A(4,3) and B(x, 5) lie on the circle with center O(2,3)
OA and OB are radius of the circle.
RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 3.1

Question 4:
The point P(x, y) is equidistant from the point A(7, 1) and B(3, 5)
RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 4.1

Question 5:
The vertices of ∆ABC are (a, b), (b, c) and (c, a)
Centroid is RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 5.1
But centroid is (0, 0)
⇒ a + b + c = 0

Question 6:
The vertices of ∆ABC are A(2, 2), B(-4, -4) and C(5, -8)
Centroid of ∆ABC is given by

RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 6.1

Question 7:
Let the point C(4, 5) divides the join of A(2, 3) and B(7, 8) in the ratio k : 1
The point C is RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 7.1
But C is (4, 5)
RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 7.2
Thus, C divides AB in the ratio 2 : 3

Question 8:
The points A(2, 3), B(4, k) and C(6, -3) are collinear if area of ∆ABC is zero
RS Aggarwal Solutions Class 10 Chapter 16 Co-ordinate Geometry 16d 8.1
But area of ABC = 0,
⇒ k = 0

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