For the following questions answer them individually
AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD in cm is
The external bisector of $$\angle B$$ and $$\angle C$$ of $$\triangle ABC$$ (where AB & AC extended to E and F respectively) meet at point P. If $$\angle BAC=100^\circ$$ , then the measure of $$\angle BPC$$
If $$tan(2 \theta + 45^\circ)$$ = $$cot 3 \theta$$ where $$(2\theta + 45^\circ)$$ and $$3 \theta$$ are acute angles, then the value of $$\theta$$ is
One flies a kite with a thread 150 metres long. If the thread of the kite makes an angle of 60° with the horizontal line, then the height of the kite from the ground (assuming the thread to be in a straight line) is
If $$\theta$$ be acute angle and $$cos \theta$$=$$\frac{15}{17}$$,then the value of $$cot (90^\circ-\theta)$$ is
If $$sec^{2} \theta+tan^{2} \theta$$= $$\frac{7}{12}$$ then $$sec^{4} \theta-tan^{4} \theta$$=
If cos x + cos y = 2, the value of sin x + sin y is
The following Pie-chart shows the land distribution of a housing complex. If the total area of the complex is 5 acres, examine the pie chart and answer the
figure
The ratio of area allotted for residential and road purposeis
The percentage of the total area allotted for water body and green zone together is
Land allotted for green zone is greater than that for commercial purpose by