TS ICET 30th September 2020 Shift-1
For the following questions answer them individually
If $$(1 + x + x^{2})^{n} = \sum_{r=0}^{2n} a_{r}x^{r}$$, then $$a_{0} + a_{2} + a_{4} + ... = $$
If $$\omega$$ is cube root of unity, then $$\begin{vmatrix} 1+\omega & \omega^{2} & -\omega\\ 1+\omega^{2} & \omega & -\omega^{2}\\ \omega^{2} +\omega& \omega& -\omega^{2} \end{vmatrix} =$$
In the figure $$\angle A = 60^{\circ}, DB\bot AC$$ and the area of $$\triangle ADC=\frac{3\sqrt{3}}{2}$$. Then BC
In a parallelogram ABCD, the length of the adjacent sides AB and BC are 14 cm and 12 cm. If the diagonal AC = 22 cm, then its area (in sq.cm.) is
One of the angle of a triangle $$\frac{2}{5}$$ of the sum of the adjacent angle of a parallelogram. The remaining angles of the triangle are in the ratio of 5 : 7. The value of the second largest angle of the triangle is
If (3, -6), (5, 7) and (13, 4) are the mid point of the sides BC, CA and AB of triangle ABC and if the centroid of the triangle is (a, b), then a + b =
If (17, 16) (14, 16) and (17, 20) are the vertices of a triangle, then the, its circum centre is
