Point Q(b,−1) is the midpoint of segment EF. Co-ordinates of point E are (−4, a) and point F are (2,0). What is the value of a and b?Correct answer is '-2, -1'. Can you explain this answer?

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CAT Question > Point Q(b,−1) is the midpoint of segment EF....

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Point Q(b,−1) is the midpoint of segment EF. Co-ordinates of point E are (−4, a) and point F are (2,0). What is the value of a and b?

Correct answer is '-2, -1'. Can you explain this answer?

Verified Answer

Point Q(b,−1) is the midpoint of segment EF. Co-ordinates of point E ...

Given,

Point Q(b,−1) is the midpoint of segment with endpoints E(−4, a) and F(2, 0).

As we know,

The midpoint of a segment with endpoints (x₁, y₁) and (x₂, y₂) is given by,

On comparing, we get

b = −1, a = −2

Hence, the correct answer is a = -2, b = -1.

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