Case Based Questions Test: Coordinate Geometry - Class 10 MCQ

# Case Based Questions Test: Coordinate Geometry - Class 10 MCQ

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## 10 Questions MCQ Test Mathematics (Maths) Class 10 - Case Based Questions Test: Coordinate Geometry

Case Based Questions Test: Coordinate Geometry for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Case Based Questions Test: Coordinate Geometry questions and answers have been prepared according to the Class 10 exam syllabus.The Case Based Questions Test: Coordinate Geometry MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Case Based Questions Test: Coordinate Geometry below.
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Case Based Questions Test: Coordinate Geometry - Question 1

### Direction: Read the following text and answer the below questions: 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. Calculate the area of the triangle if C is the origin.

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 1

If C is the origin,
We need to find Area of △PQR where
P(12, 2), Q(13, 6) and R(10, 3)
Area of △PQR with vertices
P(12, 2), Q(13, 6) and R(10, 3)
Here,
x1 = 12, y1 = 2
X2 = 13, y2 = 6
X3 = 10, y3 = 3
Now,
ar (△PQR)

= 4.5 sq.units

Case Based Questions Test: Coordinate Geometry - Question 2

### Direction: Read the following text and answer the below questions: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.What will be the coordinates of R, if C is the origin?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 2
If C is the Origin (and taking downward as positive)

Coordinates of point P = (12, 2)

Coordinates of point Q = (13, 6)

Coordinate of point R = (10, 3)

So, the correct answer is (c)

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Case Based Questions Test: Coordinate Geometry - Question 3

### Direction: Read the following text and answer the below questions: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.Calculate the area of the triangles if A is the origin.

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 3
Coordinates of P = (4, 6)

Coordinates of Q = (3, 2)

Coordinates of R = (6, 5)

Area of triangle PQR

Case Based Questions Test: Coordinate Geometry - Question 4

Direction: Read the following text and answer the below questions:

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.

Taking A as origin, find the coordinates of P.

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 4
If A is the origin

Coordinate of point P = (4, 6)

Coordinate of point Q = (3, 2)

Coordinate of point R = (6, 5)

So, the correct answer is (a)

Case Based Questions Test: Coordinate Geometry - Question 5

Direction: Read the following text and answer the below questions:

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.

What will be the coordinates of Q, if C is the origin ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 5
Coordinate of Point Q = (13, 6)
Case Based Questions Test: Coordinate Geometry - Question 6

Direction: Read the following text and answer the below questions:

Aayush Starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office.

(Assume that all distances covered are in straight lines). If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.

What is the extra distance travelled by Aayush ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 6
Extra distance travelled by Aayush in reaching his office = 27 – 24.6 = 2.4 km.
Case Based Questions Test: Coordinate Geometry - Question 7

Direction: Read the following text and answer the below questions:

Aayush Starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office.

(Assume that all distances covered are in straight lines). If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.

What is the distance between Daughter's School and bank ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 7
Distance between bank and daughter's school,

Case Based Questions Test: Coordinate Geometry - Question 8

Direction: Read the following text and answer the below questions:

Aayush Starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office.

(Assume that all distances covered are in straight lines). If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.

What is the total distance travelled by Aayush to reach the office ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 8
Distance between daughter's school and office,

Total distance (House + Bank + School + Office) travelled = 5 + 10 + 12 = 27 km

Case Based Questions Test: Coordinate Geometry - Question 9

Direction: Read the following text and answer the below questions:

Aayush Starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office.

(Assume that all distances covered are in straight lines). If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.

What is the distance between house and bank ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 9
Since, Distance between two points (x1, y1) and (x2, y2).

Now, distance between house and bank,

Case Based Questions Test: Coordinate Geometry - Question 10

Direction: Read the following text and answer the below questions:

Aayush Starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office.

(Assume that all distances covered are in straight lines). If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.

What is the distance between house and office ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - Question 10
Distance between house to office,

## Mathematics (Maths) Class 10

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## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests