JEE (Advanced) 2009 Paper-1
For the following questions answer them individually
Let
$$L = \lim_{x \rightarrow 0}\frac{a - \sqrt{a^2 - x^2} - \frac{x^4}{4}}{x^4}, a>0$$. If L is finite, then
Let A be the set of all $$3 \times 3$$ symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.
The number of matrices A in A for which the system of linear equations
$$A\begin{bmatrix}x\\y\\z \end{bmatrix} = \begin{bmatrix}1\\0\\0 \end{bmatrix}$$
has a unique solution, is
The number of matrices A in A for which the system of linear equations
$$A\begin{bmatrix}x\\y\\z \end{bmatrix} = \begin{bmatrix}1\\0\\0 \end{bmatrix}$$
is inconsistent, is
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.
This section contains 2 questions. Each questions contains statements given in two columns, which have to be matched. The statements in Column I are labelled A, B, C and D, while the statements in Column II are labeled p, q, r, s and t. Any given statement in Column I can have correct matching with ONE OR MORE statement(s) in Column II. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example:
If the correct matches are A - p, s and t; B - q and r; C -p and q ; and D -s and t; then the correct darkening of bubbles will look like the following.
Match the statements/ expressions in Column I with the open intervals in Column- II
789
456
123
0.-
Clear All
Match the conics in Column I with the statements/ expressions in Column- II
789
456
123
0.-
Clear All
