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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?

Answers

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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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? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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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 getb = −1, a = −2Hence, the correct answer is a = -2, b = -1.