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For the following questions answer them individually
If the sum of the binomial coefficients in the expansion of $$(a + b)^n$$ is 512 then the greatest binomial coefficient is
If a, b and are such that $$ak^2 + bk + c \neq 0$$ for some k and if the determinant of the matrix $$\begin{bmatrix}a & b & ak+b \\b & c & bk + c\\ak+b & bk+c & 0 \end{bmatrix}$$ is zero then a, b, c are in
The rank of the matix $$\left(\begin{array}{c}1 & 2 & 0 & -1\\ 3 & 4 & 1 & 2 \\-2 & 3 & 2 & 5 \end{array}\right)$$ is
$$\lim_{x \rightarrow 2a} \frac{\sqrt{x} - \sqrt{2a} + \sqrt{x - 2a}}{\sqrt{x^2 - 4a^2}} =$$
In $$\triangle ABC$$ the bisector of the angle A meets BC in D and DEis parallel to BA meeting AC in E, then $$\frac{AE}{EC}=$$
Let AC and BD be two diameters of a circle with centre at O and having circumference 9 units. If $$\angle OBA = 70^\circ$$ then the length (in units) of the minor are BC is
If (a, b) is a point such that its distance to (4, 0) is twice its distance to the origin then $$3(a^2 + b^2) =$$
The length of the median of $$\triangle ABC$$ through B, if the vertices A, B and C are respectively at (4, 2), (6, 5) and (1, 4) is
Day-wise Structured & Planned Preparation Guide
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