Page 71 - Mathematics Class - XI

Case-Study Based Questions
Case-Study Based Questions
Three boys, Ram, Dhurv, Tarun are talking to each other while Ram (2, –2)
maintaining a social distance due to Covid-19. They are standing at
vertices of a triangle whose coordinates are given.

Based upon the above information answer the following questions.
1. The equation of the line formed by Ram and Dhruv is
(a) 3x – y = 4 (b) 3x + y = 4 Dhruv Tarun

(c) x – 3y = 4 (d) x + 3y = 4 (1, 1) (–1, 0)
2. Slope of the equation of line formed by Ram and Tarun is

(a) 2 (b) − 3 (c) − 2 (d) 1
3 2 3 3
3. Equation of median of lines through Ram is
(a) 5x + 4y = 2 (b) 5x – 4y = 2 (c) 4x – 5y = 1 (d) None of these
4. The equation of altitude through Dhruv is

(a) 3x – 2y = 1 (b) 2x + 3y = 5 (c) x + 2y = 3 (d) None of these

Assertion-Reason Based Questions
Assertion-Reason Based Questions
Directions for Questions 1 to 3: In each of the questions given below, there are two statements marked as
Assertion (A) and Reason (R). Mark your answer as per the codes provided below:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.

(d) A is false but R is true.
Q. 1. Assertion (A) : All the points (1, 0), (–1, 0), (5, 0) (–8, 0) be on the x-axis.
Reason (R) : Equation of the x-axis is y = 0.
Q. 2. Assertion (A) : x + y = 7 is the equation of a line passing through the origin.
Reason (R) : y = mx is the equation of a line passing through the origin.
Q. 3. Assertion (A) : y = mx represents a line passing through the origin.
Reason (R) : Any line parallel to x-axis is y = k.

Answers

Case-Study Based Questions: 1. (b) 2. (c) 3. (a) 4. (a)
Assertion-Reason Based Questions: 1. (a) 2. (d) 3. (b)

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