Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 6

EASY

JEE Main/Advanced

IMPORTANT

Earn 100

The points $A (- 4, - 1), B (- 2, - 4), C (4, 0)$ and $D (2, 3)$ are the vertices of a :

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Important Questions on Coordinate Systems and Coordinates

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 7

For the quadrilateral formed by

(2, - 2), (8, 4), (5, 7)

and

(- 1, 1)

:

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 8

Two consecutive vertices of a rectangle of area

10 {unit}^{2}

are

(1, 3)

and

(- 2, - 1)

. Other two vertices are:

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 9

If each of the vertices of a triangle has integral co-ordinates then the triangle may be:

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 10

The triangle

O A B

is right angled where points

O, A, B

are

(0, 0), (\cos θ, \sin θ)

and

(\cos ϕ, \sin ϕ)

respectively, then

θ

and

ϕ

are connected by the relation :

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 11

A B C

is an isosceles triangle. If the co-ordinates of the base are

B (1, 3)

and

C (- 2, 7)

. The co-ordinates of vertex

A

can be:

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 12

If

A (a, a), B (- a, - a)

are two vertices of an equilateral triangle, then its third vertex is:

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 13

The medians

AD

and

B E

of the triangle with vertices

A (0, b), B (0, 0)

and

C (a, 0)

are mutually perpendicular if :

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 1 - Coordinate Systems and Coordinates>Multiple Choice II>Q 14

The points

A (x, y), B (y, z)

and

C (z, x)

represents the vertices of a right angled triangle, if :