KVS MATHS QUIZ 10 (GEOMETRY)

From the circumcenter I of the triangle $\mathrm{ABC}$, perpendicular ID is drawn on $\mathrm{BC}$. If $\angle \mathrm{BAC}=$ $60^{\circ}$, then the value of $\angle \mathrm{BID}$ is:

If the length of a chord of a circle at a distance of $12 \mathrm{~cm}$ from the centre is $10 \mathrm{~cm}$, then the diameter of the circle is:

In the figure given below, if AB is a straight line then the value of x is :

The centroid of an equilateral triangle ∆ABC is G. If BC = 24 cm, then what is the length (in cm) of AG is?

The areas of two similar triangles are 121 m² and 64 m². If the median of the 1st triangle =12.1 m, then the median of the 2nd triangle will be :

The centroid of an equilateral triangle $\triangle \mathrm{ABC}$ is $\mathrm{G}$. If $\mathrm{BC}=42 \mathrm{~cm}$, and $\mathrm{AD}$ is a median then what is the length (in $\mathrm{cm}$ ) of GD is?

If $\triangle \mathrm{ABC}$ is an isosceles triangle with $\mathrm{AB}=\mathrm{AC}$ and $\angle \mathrm{ABC}=76^{\circ}$, then $\angle$ $BAC$ is:

The side $\mathrm{BC}$ of as triangle $\mathrm{ABC}$ is extended to the point $\mathrm{D}$. If $\angle A C D=154^{\circ}$ and $\angle B=\frac{4}{7} \angle A$, then measure of $\angle B$ is equal to:

If $\triangle \mathrm{ABC}$ is an isosceles triangle with $\mathrm{AB}=\mathrm{AC}$ and $\angle \mathrm{ABC}=68^{\circ}$, then $\angle$ BAC is:

Two circles with centres $\mathrm{O}$ and $\mathrm{P}$ of radii $16 \mathrm{~cm}$ and $9 \mathrm{~cm}$, respectively, touches each other externally at a point A. BC is a direct common tangent to these two circles Where B and C are the points on the circles respectively. The length of $\mathrm{BC}$ (in $\mathrm{cm}$ ) is: