Point

The sides of a quadrilateral are extended to make the angles as shown below.


What is the value x?

In a trapezium $\mathrm{ABCD},\mathrm{AB}\parallel \mathrm{CD}$ and the diagonals meet at point $\mathrm{O}$. If $\mathrm{AB}=6 \mathrm{cm}$ and $\mathrm{DC}=3 \mathrm{cm}$, then the ratio of $\mathrm{ar}(△\mathrm{AOB})$ and $\mathrm{ar}(△\mathrm{COD})$ will be ____ .

$\mathrm{ABCD}$ is a square. $\mathrm{M}$ is the mid-point of $\mathrm{AB}$ and $\mathrm{N}$ is the mid-point of $\mathrm{BC}$. $\mathrm{DM}$ and $\mathrm{AN}$ are joined and they meet at $\mathrm{O}$. Then which of the following is not correct?

If the area of an equilateral triangle is $24\sqrt{3} {\mathrm{cm}}^2$. Then its perimeter is -

Is there are three of points in the figure given below,(True/False)

State true or false

Point has only position.

State true or false

Point has no dimensions.

Is there five points in the figure given below,

Is geometry is the branch of mathematics that deals with points, lines, shapes and space

Explain the term point.

$AB$ is a chord of a circle with centre $O$ and $P$ is any point on the circle. If $\angle APB = 122°$, then what is the measure of $\angle OAB$?

Two circles of radius $15 \mathrm{cm}$ and $37 \mathrm{cm}$ intersect each other at points $A$ and $B$. If the length of the common chord is $24 \mathrm{cm}$, what is the distance (in $\mathrm{cm}$) between the centres of the circles?

In the given figure, the value of $m$ is

In a circle with centre $O$ and radius $13 \mathrm{cm}$, a chord $AB$ is drawn. Tangents at $A$ and $B$ intersects at $P$ such that $\angle APB = 60°$. If the distance of $AB$ from the centre $O$ is $5 \mathrm{cm}$, then what is the length (in $\mathrm{cm}$) of $AP$?

$ABCD$ is a cyclic quadrilateral. $AB$ and $DC$ meet at $F$, when produced. $AD$ and $BC$ meet at $E$, when produced. If $\angle BAD = 68°$ and $\angle AEB = 27°$, then what is the measure of $\angle BFC$?

A chord $AB$ of circle $C_1$ of radius $17 \mathrm{cm}$ touches circle $C_2$ which is concentric to $C_1$. The radius of $C_2$ is $8 \mathrm{cm}$. What is the length (in $\mathrm{cm}$) of $AB$?

$ABCD$ is a cyclic quadrilateral such that $AB$ is the diameter of the circle and $\angle ADC = 145°$, then what is the measure of $\angle BAC$?

A $\Delta ABC$ has sides $5 \mathrm{cm}, 6 \mathrm{cm}$ and $7 \mathrm{cm}$. $AB$ extended touches a circle at $P$ and $AC$ extended touches the same circle at $Q$. Find the length (in $\mathrm{cm}$) of $AQ$.

If a triangle $ABC$ is right- Triangle at $A$, then what is the value of $\sin \frac{B+C}{2}\cos \frac{B+C}{2}$?

If $S$ is a point on side $QR$ of a triangle $PQR$ such that $QS=10 \mathrm{cm}, QR=18 \mathrm{cm} \mathrm{and} \angle PSR=\angle QPR$ , then the length of $PR$ will be _____.