Find the area under the curve.

$F\left(x\right)=2x-3x^2$ the limit is given as $x=1 to x=2$

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

In $△ABC, AD$ is the median and $G$ is a point on $AD$ such that $AG:GD=2:1$. Then area $(△BDG):$area $(△ABC)$ is equal to:

X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

 (A) 128 units 

(B) 64 units 

(C) 96 units 

(D) 160 units 

In the given figure, $△$XYZ is an isosceles triangle with XY$=$XZ and $\angle$XYZ$=80°$. Then $\angle$YPZ equal to:

The value of $z$ (in degrees) in the given figure is _____.

The length of the chord which is at a distance of $5 \mathrm{cm}$ from the center of the circle and the radius of the circle is $13 \mathrm{cm}$ is:

The value of $x$ in the figure given is _____.