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Difficulty:
25%
(medium)
Question Stats:
73% (01:10) correct
27%
(01:02)
wrong
based on 153
sessions
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A circle and a straight line are drawn on the same coordinate graph. In how many places do the two graphs intersect?
(1) The equation of the circle is x^2 + y^2 = 25.
(2) The y-intercept of the straight line is 6.
(1) The equation of the circle is x^2 + y^2 = 25.
(2) The y-intercept of the straight line is 6.
01 Jul 2016, 09:26
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St1: Insufficient as we do not know the equation of the straight line
St2: Insufficient as we do not know the equation of the circle or the straight line
Combining St1 and St2: Still insufficient as we only the equation of the circle
Answer: E
St2: Insufficient as we do not know the equation of the circle or the straight line
Combining St1 and St2: Still insufficient as we only the equation of the circle
Answer: E
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01 Jul 2016, 09:27
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Answer is E: Neither is sufficient to solve.
(1) The equation of the circle is x^2 + y^2 = 25.
This says this is a circle of radius 5 and centre as origin and nothing about the line. So Eliminate A and D
(2) The y-intercept of the straight line is 6.
This says about the line with y intercept as 6, but not about the slope, so incomplete line information and also nothing about the Circle.
combining 1 and 2 , we know about a circle and an incomplete line, so E.
(1) The equation of the circle is x^2 + y^2 = 25.
This says this is a circle of radius 5 and centre as origin and nothing about the line. So Eliminate A and D
(2) The y-intercept of the straight line is 6.
This says about the line with y intercept as 6, but not about the slope, so incomplete line information and also nothing about the Circle.
combining 1 and 2 , we know about a circle and an incomplete line, so E.
