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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

A

IF statement (1) alone is sufficient, but statement (2) is not or If Statement (2) alone is sufficient but statement (1) is not

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B

If Both statements TOGETHER are sufficient, but neither statement ALONE is sufficient

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C

If Each statement ALONE is sufficient

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D

Statement s (1) and (2) TOGETHER are not sufficient

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Solution

The correct option is B If Both statements TOGETHER are sufficient, but neither statement ALONE is sufficient 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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