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Updated on: 01 Nov 2014, 07:36
Originally posted by violetsplash on 26 Sep 2013, 07:25.
Last edited by Bunuel on 01 Nov 2014, 07:36, edited 3 times in total.
Last edited by Bunuel on 01 Nov 2014, 07:36, edited 3 times in total.
RENAMED THE TOPIC.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:04) correct
26%
(02:21)
wrong
based on 1840
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A circle with center O and radius 5 is shown in the xy-plane. Lines that intersect the circle in 2 points include which of the following ?
I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II and III
I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II and III
Attachments
Circle.jpg [ 8.5 KiB | Viewed 79275 times ]
09 Jun 2014, 21:58
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violetsplash
A circle with center O and radius 5 is shown in the xy-plane. Lines that intersect the circle in 2 points include which of the following ?
I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6
a) I only
b) II Only
c) I and II Only
d) I and III only
e) I, II and III
Please see the attached picture
I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6
a) I only
b) II Only
c) I and II Only
d) I and III only
e) I, II and III
Please see the attached picture
Co-ordinate geometry is best done by making diagrams of your own. On the x axis, draw a circle with radius 5 and center at (0, 0). It will cut the x axis at 5 and -5 and y axis at 5 and -5.
Now try to plot the 3 given lines.
I. y = -x +1
Put x = 0, you get y = 1. So this line cuts the y axis at 1.
Put y = 0, you get x = 1. So this line cuts the x axis at 1.
This line, when extended on both sides will cut the circle at two distinct points.
II. y = 2x + 1
Similarly, plot this line and you will see that it will cut the circle at two points too.
III. y = (1/2)x - 6
This line cuts the y axis at -6 and x axis at 12. It is outside the circle and hence doesn't cut the circle.
Hence correct answer is (C)
26 Sep 2013, 08:08
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violetsplash
A circle with center O and radius 5 is shown in the xy-plane. Lines that intersect the circle in 2 points include which of the following ?
I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6
a) I only
b) II Only
c) I and II Only
d) I and III only
e) I, II and III
Please see the attached picture
I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6
a) I only
b) II Only
c) I and II Only
d) I and III only
e) I, II and III
Please see the attached picture
Check the diagram below:
Attachment:
graph.png [ 9.35 KiB | Viewed 76732 times ]
