Quantitative Aptitude - Geometry - Coordinate - The points (2, 5) and (6, 3)
Quantitative Aptitude - Geometry - Coordinate
Question
The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is
A) -5
B) -6
C) -7
D) -8
Answer
Option (D)
Solution
From CAT 2017 - Quantitative Aptitude - Geometry - Coordinate, we can see that,
The diagonals of a rectangle bisect each other. Mid points of the diagonal are (4,4)
These points fall on the line with eq
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Quantitative Aptitude - Geometry - Coordinate - The shortest distance
Quantitative Aptitude - Geometry - Coordinate
Question
The shortest distance of the point (½, 1) from the curve y = |x -1| + |x + 1| is
A) 1
B) 0
C) √2
D) √3/2
Answer
Option (A)
Solution
From CAT 2017 - Quantitative Aptitude - Geometry - Coordinate, we can see that,
The graph of y = |x – 1| + |x + 1| is shown above.
The shortest distance of (1/2, 1) from the graph is 1.
Option (A)
Download CAT 2017 Question Paper with answers and detail
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