The solution of linear in equalities x + y ≥ 5 and x - y ≤ 3 lies:

In the first and second quadrants

In the second and third quadrants

In the third and fourth quadrants

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Find the area of the region enclosed by $y = | x - 2 | + 3, x = 2, x$ -axis and y-axis.

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Important Questions on Coordinate Geometry

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

The value of

p

, for which the points

A (3, 1)

B (5, p)

and

C (7, - 5)

are collinear is

MEDIUM

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

What is the area (in square units) of the triangular region enclosed by the graphs of the equations

x + y = 3, 2 x + 5 y = 12

and the

x

-axis?

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

The ratio in which the straight line

3 x + 4 y = 6

divides the join of the points

(2, - 1)

and

(1, 1)

HARD

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Quadrilateral formed by the vertices

(1, 4), (- 5, 4), (- 5, - 3)

and

(1, - 3)

will be

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

The equation of the graph shown here is:

Question Image

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

The equation of the straight line passing through the point

M (- 5, 4)

, such that the portion of it between the axes is divided by the point

M

in to two equal halves, is

HARD

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Let

S

be the focus of parabola

x^{2} + 8 y = 0

and

Q

be any point on it. If

P

divides the line segment

S Q

in the ratio

1 : 2,

then the locus of

P

MEDIUM

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Let

A = (a_{1}, a_{2})

and

B = (b_{1}, b_{2})

be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between

A

and

B

HARD

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

If the distance between the points

(x, 0)

and

(- 7, 0)

10

. Then, the possible values of

x

are ______.

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

In the given figure, $A P$ bisect $∠ B A C$ . If $AB = 4 cm, AC = 6 cm$ and $BP = 3 cm$ , then the length of $CP$ is:

Question Image

HARD

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

If $A (0, - 1), B (2, 1)$ and $C (0, 3)$ are the vertices of $△ A B C$ , then the length of median drawn from $A$ will be

MEDIUM

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Find the ratio in which line $3 x + 2 y = 17$ divides the line segment joined by points $(2, 5)$ and $(5, 2) .$

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Find the area of

∆ A B C

Whose vertices are

A (10, - 6), B (2, 5)

and

C (- 1, 3) .

MEDIUM

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

The centre of a circle is

(- 6, 4)

. If one end of the diameter of the circle is at

(- 12, 8)

then the other end is at:

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

The solution of linear in equalities $x + y \geq 5$ and $x - y \leq 3$ lies:

HARD

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Let

A B C D

be a square of side length

1 .

Let

P, Q, R, S

be points in the interiors of the sides

A D, B C, A B, C D

respectively, such that

P Q

and

R S

intersect at right angles. If

P Q = \frac{3 \sqrt{3}}{4},

then

R S

equals

MEDIUM

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

In a

∆ A B C

, medians,

A D

and

B E

are drawn. If

A D = 4

∠ D A B = \frac{π}{6} a n d ∠ A B E = \frac{π}{3}

, then the area of the

∆ A B C

EASY

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

△ ABC, D, E

and

F

are the midpoints of the sides AB, BC and CA, respectively. If

AB = 12 cm, BC = 20 cm

and

CA = 15 cm

, then the value of

\frac{1}{2} (DE + EF + DF)

is:

HARD

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Find the area of the triangle formed by the lines

x - 3 y = 0, x - y = 4

and

x + y = 4 .

MEDIUM

Quantitative Aptitude>Geometry>Coordinate Geometry>Coordinate System in 2D

Find the area of the triangle formed with the three straight lines represented by:

$(i) x + y = 0 (i i) 3 x = 5 y; a n d (i i i) y = 3 x - 12$

Find the area of the region enclosed by y=|x-2|+3, x=2, x-axis and y-axis.

Important Questions on Coordinate Geometry

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Find the area of the region enclosed by $y = | x - 2 | + 3, x = 2, x$ -axis and y-axis.