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30 Sep 2021, 02:30
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
48% (01:17) correct
52%
(01:17)
wrong
based on 85
sessions
History
Date
Time
Result
Not Attempted Yet
Line l passes through points in both quadrants II and III. Which of the following statements are true?
I. Line l cannot pass through the origin.
II. Line l cannot pass through any point in quadrant IV.
III. The slope of line l cannot be 0.
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
I. Line l cannot pass through the origin.
II. Line l cannot pass through any point in quadrant IV.
III. The slope of line l cannot be 0.
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
Bunuel
Bunuel
I feel the answer shall be 2 and 3 Quad.
1, as if it passes through the origin, it will either pass through Quad 2 or through 3 but not through both of them.
3, i say because if the line has a slope of 0, it will either pass through Quad 2 or through 3 but not through both of them.
Please help me understand where I am going wrong. Thanks.
**(edited)---Thank you guys. I understood where I goofed up BIG time and that is numbering of quadrant wrt to the options. Need to be very attentive while answering.**
12 Oct 2021, 08:17
Kudos
Bookmarks
Bunuel
Dear arjunnath,
Please refer to the attached fig.
Attachment:
Quadrant .png [ 14.44 KiB | Viewed 4965 times ]
I. Line l cannot pass through the origin. True
When a line passes through the origin it can pass through either I and III or II and IV or be the axes themselves. Hence a line that passes through II and III CANNOT pass through the origin.
II. Line l cannot pass through any point in quadrant IV. False
As you can see in the fig. the line can pass through IV quadrant.
III. The slope of line l cannot be 0. True
When a line is parallel to the \(x \) axis ( a Horizontal line ) then only its slope is zero.
Hence the line cannot go through both II and III quadrant and still be parallel to the \(x\) axis.
Hence only I and III are true.
Ans- D
Hope it's clear.
