EASY

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Write the distance of the point $(4, 3)$ ) from x-axis.

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Important Questions on Coordinate Geometry

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Perpendicular distance of point

(- 2, - 3)

from

y -

axis is ____

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Draw the coordinate axes and mark the points

A (1, 1), B (7, 1)

. Then draw an isosceles triangle

A B C

with

A B

as the hypotenuse.

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Draw the coordinate axes and mark the points $A (- 3, 0), B (3, 0)$ and $C (0, 3 \sqrt{3})$ .

HARD

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

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

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

If the co-ordinate of any point is

(0, 5)

then this point will exist on the _____ axis.

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

(x, y)

is equidistant from

(a + b, b - a)

and

(a - b, a + b)

,

then

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

A circle is drawn with

(5, 3)

as centre.

(5, 6)

is a point on the circle. What is the length of the tangents from the origin to the circle ?

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Let

x_{0}, y_{0}

be fixed real numbers such that

x_{0}^{2} + y_{0}^{2} > 1

. If

x, y

are arbitrary real numbers such that

x^{2} + y^{2} \leq 1,

then the minimum value of

{(x - x_{0})}^{2} + {(y - y_{0})}^{2}

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

$A (0, 0); B (2, 0); C (0, - 2)$ are the vertices of a _____ triangle.

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Draw the coordinate axes and mark the points

A (1, 1), B (7, 1)

. Then draw an isosceles triangle

A B C

with

A B

as the hypotenuse. Write the coordinates of

C

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Let

A B C D

be a square of side length

1

, and

Γ

a circle passing through

B

and

C

, and touching

A D

. The radius of

Γ

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Two vertices of a triangle are

(3, - 5)

and

(- 7, 4) .

If its centroid is

(2, - 1)

, then find the third vertex.

HARD

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

If the distance between the points

(x, 0)

and

(- 7, 0)

10

. Then, the possible values of

x

are ______.

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

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

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

If the points

P (7, 5), Q (a, 2 a)

and

R (12, 30)

are collinear, then the value

a

is equal to

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

The straight lines

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

and

x + 3 y - 4 = 0

form a traingle which is

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

The points

(a, b + c), (b, c + a), (c, a + b)

are the vertices of which of the following?

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Draw the coordinate axes and mark the points

A (1, 1), B (7, 1)

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Draw the graph of

y = - 3 x^{2}

EASY

Mathematics>Geometry>Coordinate Geometry>Plotting a Point in the Plane if its Coordinates are given

Point

(3, - 5)

lies in which quadrant?

Write the distance of the point (4, 3) ) from x-axis.

Important Questions on Coordinate Geometry

Learn and Prepare for any exam you want !

Write the distance of the point $(4, 3)$ ) from x-axis.