Ncert Exemplar Class 7

11-05-2021 admin

Class 9 Maths Exemplar Solutions
Ncert Exemplar Class 7 Hindi

Here you get the CBSE Class 10 Mathematics chapter 7, Coordinate Geometry: NCERT Exemplar Problems and Solutions (Part-IIIC). This part of the chapter includes solutions of Question Number 15 to 20 from Exercise 7.3 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Coordinate Geometry. Each question is provided with a detailed but simple solution.

NCERT Exemplar Class 7 Maths PDF. NCERT Exemplar solutions for class 7th Maths is the key to achieve success in the subject. When a student reaches class 7th he/ she comes across many different types of topics for the very first time. In order to get high marks in the examination, consistent practice is required. NCERT Exemplar Class 7 Science is very important because class 7 is the transition between primary and high school. NCERT exemplar helps the students in gaining clear knowledge of the topics provided in NCERT Class 7 Science textbook. Class 7 Science NCERT Exemplar questions will help to clearly understand the topics which will eventually help you in studying advanced topics.

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.

Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Coordinate Geometry:

Exercise 7.3

Short Answer Type Questions (Q. No. 15-20)

Question. 15 The line segment joining the points A(3, 2) and B(5, 1) is divided at the point P in the ratio 1 : 2 and it lies on the line 3x -18y + k = 0. Find the value of k.

Solution:

Question. 17 If the points A (2, 9), B (a, 5) and C (5, 5) are the vertices of a ΔABC right angled at B, then find the values of a and hence the area of ΔABC.

Solution:

As, the points A (2, 9), B (a, 5) and C (5, 5) are the vertices of a ΔABC right angled at B.

By distance formula,

Question. 19 Find the values of k, if the points A (k + 1, 2k), B (3k, 2k + 3) and C (5k − 1, 5k) are collinear.

Solution:

If three points are collinear, then the area of triangle formed by these points is zero.

Since, the points A (k + 1,2k), B (3k, 2k + 3) and C (5k - 1, 5k)are collinear, therefore area of ΔABC = 0

Question. 20 Find the ratio in which the line 2x+ 3y -5 = 0 divides the line segment joining the points (8, -9) and (2, 1). Also, find the coordinates of the point of division.

Solution:

Let the line 2x + 3y -5 = 0 divides the line segment joining the points A (8, -9) and B (2, 1) in the ratio l: 1 at point P.

Here you get the CBSE Class 10 Mathematics chapter 7, Coordinate Geometry: NCERT Exemplar Problems and Solutions (Part-IA). This part of the chapter includes solutions of Question Number 1 to 9 from Exercise 7.1 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Coordinate Geometry. This exercise comprises only the Multiple Choice Questions (MCQs) framed from various important topics in the chapter. Each question is provided with a detailed solution.

Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Coordinate Geometry:

Exercise 7.1

Multiple Choice Questions (Q. No. 1-9)

Question. 1 The distance of the point P (2,3) from the x-axis is

(a) 2

(b) 3

(d) 5

Answer. (b)

Explanation:

Class 9 Maths Exemplar Solutions

Suppose P (a, b) is any point on the cartesian plane in first quadrant as shown below:

Then,

• a is the perpendicular distance from the y-axis

• b is the perpendicular distance from the x-axis

So, distance of the point P(2, 3) from the x-axis = 3

Distance of the point P(2, 3) from the y-axis = 2.

Question. 2 The distance between the points A(0, 6) and B (0, ‒2) is

(a) 6

(b) 8

(d) 2

Answer. (b)

Explanation:

Question. 3 The distance of the point P(‒6, 8) from the origin is

Question. 4 The distance between the points (0, 5) and (-5, 0) is

(a) 5

(b)

(c)

(d) 10

Answer. (b)

Explanation:

Question. 5 If AOBC is a rectangle whose three vertices are A (0, 3), O(0, 0) and B(5, 0), then the length of its diagonal is

Answer. (c)

Explanation:

Question. 6 The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

Answer. (b)

Explanation:

Distance between A (0, 4) and O (0, 0) + Distance between O (0, 0) and B (3, 0) + Distance between A (0, 4) and B (3, 0) = 3 + 4 + 5 = 12.

Question. 7 The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is

(a) 14