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Case Based Questions Test: Coordinate Geometry - 2 - Class 10 MCQ


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10 Questions MCQ Test - Case Based Questions Test: Coordinate Geometry - 2

Case Based Questions Test: Coordinate Geometry - 2 for Class 10 2024 is part of Class 10 preparation. The Case Based Questions Test: Coordinate Geometry - 2 questions and answers have been prepared according to the Class 10 exam syllabus.The Case Based Questions Test: Coordinate Geometry - 2 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 - 2 below.
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Case Based Questions Test: Coordinate Geometry - 2 - Question 1

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

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4th the distance AD on the 2nd line and posts a green (G) flag. Preet runs 1/5th distance AD on the eighth line and posts a red (R) flag.

If Joy has to post a flag at one-fourth distance from green flag, in the line segment joining the green and red flags, then where should he post his flag ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 1
Position of Joy's flag = Mid-point of line segment joining green and blue flags

Case Based Questions Test: Coordinate Geometry - 2 - Question 2

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

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4th the distance AD on the 2nd line and posts a green (G) flag. Preet runs 1/5th distance AD on the eighth line and posts a red (R) flag.

Find the position of red flag

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 2

Position of red flag = Point R

= (8, 20)

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Case Based Questions Test: Coordinate Geometry - 2 - Question 3

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

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4th the distance AD on the 2nd line and posts a green (G) flag. Preet runs 1/5th distance AD on the eighth line and posts a red (R) flag.

If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 3
Position of blue flag Mid-point of line segment joining the green and red flags

Case Based Questions Test: Coordinate Geometry - 2 - Question 4

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

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4th the distance AD on the 2nd line and posts a green (G) flag. Preet runs 1/5th distance AD on the eighth line and posts a red (R) flag.

Find the position of green flag

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 4

Position of green flag = Point G

= (2, 25)

Case Based Questions Test: Coordinate Geometry - 2 - Question 5

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

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4th the distance AD on the 2nd line and posts a green (G) flag. Preet runs 1/5th distance AD on the eighth line and posts a red (R) flag.

What is the distance between both the flags ?

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 5
Position of Green flag = (2, 25)

Position of Red flag = (8, 20)

Distance between both the flags

Case Based Questions Test: Coordinate Geometry - 2 - Question 6

Direction: Read the following text and answer the below questions: The diagram show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sun room are square clear glass panels. The roof is made using, l

Four clear glass panels, trapezium in shape, all of the same size l

One tinted glass panel, half a regular octagon in shape

Refer to front view, if a point (x, y) is equidistant from the Q(9, 8) and S(17, 8), then

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 6
Let point be P(x, y)

PQ2 = PS2

or, (x – 9)2 + (y – 8)2

= (x – 17)2 + (y – 8)2

or, x – 13 = 0

Case Based Questions Test: Coordinate Geometry - 2 - Question 7

Direction: Read the following text and answer the below questions: The diagram show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sun room are square clear glass panels. The roof is made using, l

Four clear glass panels, trapezium in shape, all of the same size l

One tinted glass panel, half a regular octagon in shape

Refer to front View, the distance of the point P from the y-axis is:

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 7
The distance of the point P from the Y-axis = 4.
Case Based Questions Test: Coordinate Geometry - 2 - Question 8

Direction: Read the following text and answer the below questions: The diagram show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sun room are square clear glass panels. The roof is made using, l

Four clear glass panels, trapezium in shape, all of the same size l

One tinted glass panel, half a regular octagon in shape

Refer to front view, find the co-ordinates of the point which divides the line segment joining the points A and B in the ratio 1 : 3 internally.

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 8
The coordinates of A = (1, 8)

The coordinates of B = (4, 10)

Also, m = 1 and n = 3

Case Based Questions Test: Coordinate Geometry - 2 - Question 9

Direction: Read the following text and answer the below questions: The diagram show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sun room are square clear glass panels. The roof is made using, l

Four clear glass panels, trapezium in shape, all of the same size l

One tinted glass panel, half a regular octagon in shape

Refer to Top View, find the mid-point of the segment joining the points J(6, 17) and I(9, 16).

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 9
Mid-point of J(6, 17) and I(9, 16) is

Case Based Questions Test: Coordinate Geometry - 2 - Question 10

Direction: Read the following text and answer the below questions: The diagram show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sun room are square clear glass panels. The roof is made using, l

Four clear glass panels, trapezium in shape, all of the same size l

One tinted glass panel, half a regular octagon in shape

Refer to front view, the distance between the points A and S is

Detailed Solution for Case Based Questions Test: Coordinate Geometry - 2 - Question 10
A's coordinates = (1, 8)

S's coordinates = (15, 8)

Then,

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