TS ICET 2018 Shift 2
For the following questions answer them individually
If the coefficients of $$x^7$$ and $$x^8$$ are equal in the expansion of $$\left(3 + \frac{x}{2}\right)$$ then n =
If $$\begin{bmatrix}a & b^2 \\c^3 & 0 \end{bmatrix} = \begin{bmatrix}2 & 9 \\-8 & 0 \end{bmatrix}$$ where a, b, c are real numbers of which b < 0 then 3a + b + c =
$$\lim_{n \rightarrow \infty}\frac{(1 + n)^7 + (2 + n)^7 + .......+ (7 + n)^7}{1000 + n^7} =$$
As given in the diagram, in $$\triangle ABC, \angle B > 90^\circ$$ and AD is perpendicular to BC. Then $$b^2 =$$
If the angles of a quadrilateral are in the ratio 3:4:5:6 then the smallest of these angles is
If a chord of a circle of radius 10cmsubtends an angle $$60^\circ$$ at the center of the circle, then the length of the chord (in centimeters) is
The vertices of $$\triangle ABC$$ are A(4, 2), B(6, 5) and C(1, 4). The median through A meets BC at D. Then $$AD^2 =$$
