Question
Does the equation y = (x - a)(x - b) intercept the x-axis at the point (2,0)?
(1) ab = -8
(2) -2 - a = b
(1) ab = -8
(2) -2 - a = b
Answer: Option B
:
B
At y = 0
0 = (x - a)(x - b). This product would only be zero when xis equal to a or b. thus, we need to find out if a or b = 2. Both statements are required to answer this
(1) INSUFFICIENT: We can't find the value of a or b from this equation.
(2) INSUFFICIENT: We can't find the value of a or b from this equation.
(1) AND (2) SUFFICIENT: we have 2 simultaneous eqns which can be solved.
If b = 2, a = -4 and if b = -4, a = 2. Either way either a or b is equal to 2.
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:
B
At y = 0
0 = (x - a)(x - b). This product would only be zero when xis equal to a or b. thus, we need to find out if a or b = 2. Both statements are required to answer this
(1) INSUFFICIENT: We can't find the value of a or b from this equation.
(2) INSUFFICIENT: We can't find the value of a or b from this equation.
(1) AND (2) SUFFICIENT: we have 2 simultaneous eqns which can be solved.
If b = 2, a = -4 and if b = -4, a = 2. Either way either a or b is equal to 2.
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