NCERT Solutions For Class 10 Maths Chapter 7 Ex 7.4 - Monster Thinks

# NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4

Get Free NCERT Solutions for Class 10 Maths Chapter 7 Ex 7.4 Coordinate Geometry Class 10 Maths NCERT Solutions are extremely helpful while doing homework. Exercise 7.4 Class 10 Maths NCERT Solutions were prepared by Experienced Garry Academy Teachers. Detailed answers to all the questions in Chapter 7 Maths Class 10 Coordinate Geometry Exercise 7.4 Provided in NCERT Textbook

Topics and Sub-Topics in Class 10 Maths Chapter 7 Coordinate Geometry:

 Section Name Topic Name 7 Coordinate Geometry 7.1 Introduction 7.2 Distance Formula 7.3 Section Formula 7.4 Area of a Triangle 7.5 Summary

You can also download the free PDF of Chapter 7 Ex 7.4 Coordinate Geometry NCERT Solutions or save the solution images and take the printout to keep it handy for your exam preparation.

 Board CBSE Textbook NCERT Class Class 10 Subject Maths Chapter Chapter 7 Chapter Name Coordinate Geometry Exercise Ex 7.4 Number of Questions Solved 8 Category NCERT Solutions

## NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4.

Ex 7.4 Class 10 Maths Question 1.
Determine the ratio, in which the line 2x + y – 4 = 0 divides the line segment joining the points A(2, -2) and B(3, 7).
Solution: Ex 7.4 Class 10 Maths Question 2.
Find a relation between x and y, if the points (x, y), (1, 2) and (7, 0) are collinear.
Solution: Ex 7.4 Class 10 Maths Question 3.
Find the centre of a circle passing through the points (6, -6), (3, -7) and (3, 3).
Solution: Ex 7.4 Class 10 Maths Question 4.
The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.
Solution:  Ex 7.4 Class 10 Maths Question 5.
The class X students school in krishnagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.
(i) Taking A as origin, find the coordinates of the vertices of the triangle.
(ii) What will be the coordinates of the vertices of ∆PQR, if C is the origin?
Also, calculate the areas of the triangles in these cases. What do you observe? Solution: Ex 7.4 Class 10 Maths Question 6.
The vertices of a VABC are A(4, 6), B(1, 5) and C(7, 2). A line is drawn to intersect sides AB and AC at D and E respectively. such that ADAB=AEAC=14. calculate the area of the ∆ADe and compare it with the area of ∆ABC.
Solution:   Ex 7.4 Class 10 Maths Question 7.
Let A(4, 2), B(6,5) and C(1, 4) be the vertices of ∆ABC.
(i) The median from A meters BC at D. Find the coordinates of the point D.
(ii) Find the coordinates of the point P on the AD, such that AP: PD = 2: 1.
(iii) Find the coordinates of points Q and R on medians BE and CF respectively, such that BQ: QE = 2: 1 and CR: RF = 2: 1.
(iv) What do you observe?
[Note: The points which are common to all the three medians is called centroid and this point divides each median in the ratio 2: 1]
(v) If A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC, find the coordinates of the centroid of the triangles.
Solution:   Ex 7.4 Class 10 Maths Question 8.
ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1), P, Q, R and S are the mid-points of Ab, BC, CD and DA respectively. Is the quadrilateral PQRS a square? a rectangle? or a rhombus? Justify your answer.
Solution:  ### Class 10 Maths Coordinate Geometry Ex 7.1Class 10 Maths Coordinate Geometry Ex 7.2Class 10 Maths Coordinate Geometry Ex 7.3Class 10 Maths Coordinate Geometry Ex 7.4

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