How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 16

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CAT

IMPORTANT

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Find the ratio in which the Y-axis divides the line segment joining the points $(7, 3)$ and $(- 4, 5)$ .

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Important Questions on Coordinate Geometry

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 17

In what ratio is the line segment made by the points (7, 3) and (−4, 5) divided by the y-axis? What is the nature of the division?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 18

If the coordinates of the mid-point of the line segment joining the points

(2, 1)

and

(1, - 3)

is

(x, y)

then the relation between

x

and

y

can be best described by:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 19

Points

(6, 8), (3, 7), (- 2, - 2)

and

(1, - 1)

are joined to form a quadrilateral. What will be this structure?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 21

What will be the centroid of a triangle whose vertices are

(2, 4), (6, 4)

and

(2, 0) ?

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 22

The distance between the lines

4 x + 3 y = 11

and

8 x + 6 y = 15

is:

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CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 23

If the mid-point of the line joining

(3, 4)

and

(p, 7)

is

(x, y)

and

2 x + 2 y + 1 = 0

, then what will be the value of

p

?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 24

Find the third vertex of the triangle whose two vertices are

(- 3, 1)

and

(0, - 2)

and the centroid is the origin.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 17 - Coordinate Geometry>Level of Difficulty>Q 25

Find the area of the triangle whose vertices are

(1, 3), (- 7, 6)

and

(5, - 1)