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

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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 ncert-books.in Teachers. Detailed answers of all the questions in Chapter 7 Maths Class 10 Coordinate Geometry Exercise 7.4 Provided in NCERT Textbook

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.

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:
Coordinate Geometry Class 10 Maths NCERT Solutions Ch 7 Ex 7.4 PDF Download Q1

 

Question 2.
Find a relation between x and y, if the points (x, y), (1, 2) and (7, 0) are collinear.
Solution:
Coordinate Geometry Class 10 Maths NCERT Solutions Ch 7 Ex 7.4 Free PDF Download Q2

 

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 NCERT Solutions Ch 7 Coordinate Geometry PDF Download Q3

 

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 NCERT Solutions Ch 7 Coordinate Geometry PDF Q4
Ex 7.4 Class 10 Maths NCERT Solutions Ch 7 Coordinate Geometry Q4.1

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?
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry 48Solution:
Ch 7 maths Class 10 NCERT Solutions Coordinate Ex 7.4 PDF Download Q5

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 \frac { AD }{ AB } =\frac { AE }{ AC } =\frac { 1 }{ 4 } . calculate the area of the ∆ADe and compare it with the area of ∆ABC.
Solution:
Ch 7 maths Class 10 NCERT Solutions Coordinate Ex 7.4 Free PDF Download Q6
Ch 7 maths Class 10 NCERT Solutions Coordinate Ex 7.4 Free PDF Q6.1
Ch 7 maths Class 10 NCERT Solutions Coordinate Ex 7.4 Q6.2

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:
Coordinate Geometry Class 10 Maths NCERT Solutions Ch 7 Ex 7.4 Q7
Coordinate Geometry Class 10 Maths NCERT Solutions Ch 7 Ex 7.4 PDF Q7.1
Coordinate Geometry Class 10 Maths NCERT Solutions Ch 7 Ex 7.4 Fee PDF Q7.2

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:
Ex 7.4 Class 10 Maths NCERT Solutions Ch 7 Coordinate Geometry Free PDF Download Q8
Ex 7.4 Class 10 Maths NCERT Solutions Ch 7 Coordinate Geometry Q8.1

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