Quantitative Aptitude – Geometry – Coordinate
Question
The shortest distance of the point (Â½, 1) from the curve y = |x -1| + |x + 1| is

A) 1

B) 0

C) âˆš2

D) âˆš3/2

Answer
Option (A)

Solution
From CAT 2017 – Quantitative Aptitude – Geometry – Coordinate, we can see that,

The graph of y = |x â€“ 1| + |x + 1| is shown above.

The shortest distance of (1/2, 1) from the graph is 1.

Option (A)

CAT 2017 Questions from Quantitative Aptitude – Geometry
Quantitative Aptitude – Geometry – Coordinate – Ques : 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

Quantitative Aptitude – Geometry – Circles – Q1 : ABCD is a quadrilateral inscribed in a circle with centre O. If âˆ COD = 120 degrees and âˆ BAC = 30 degrees, then the value of âˆ BCD (in degrees) is

Quantitative Aptitude – Geometry – Circles – Q2 : Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC.

Quantitative Aptitude – Geometry – Triangles – Q1 : Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB.

Quantitative Aptitude – Geometry – Triangles – Q2 : Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively.

Quantitative Aptitude – Geometry – Triangles – Q3 : From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is

Quantitative Aptitude – Geometry – Mensuration
Quantitative Aptitude – Geometry – Polygons – Ques : Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

Other posts related to Quantitative Aptitude – Geometry
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Geometry Fundas for CAT Quantitative Aptitude Preparation â€“ Part 2
Geometry Basics for CAT â€“ Triangle related questions and problems
Mensuration Basics and 3-Dimensional Geometry Concepts for CAT
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