If \( \mathrm{X} \) and \( \mathrm{Y} \) are two sets such that \( \mathrm{X} \cup \mathrm{Y} \)...
If
If \( \mathrm{x} \) and \( \mathrm{y} \) satisfy the equation \( \m...
If
If \( \mathrm{x} \) and \( \mathrm{y} \) are positive number with \( \mathrm{x}-\mathrm{y}=2 \) ...
If
If \( \mathrm{x}, \mathrm{y}, \mathrm{z} \in \mathrm{R} \) and \( 1...
If
If \( \mathrm{x}^{\mathrm{y}}=\mathrm{e}^{x-y} \), prove that \( \f...
If
If \( \mathrm{x}-\mathrm{y}=2 \) then point \( (\mathrm{x}, \mathrm{y}) \) is equidistant from \...
If
If two positive integers \( \mathrm{x} \) and \( \mathrm{y} \) are written as \( \mathrm{x}=\mat...
If
If \( \mathrm{x}0 \) and \( \mathrm{y}0 \), then the point \( (\mathrm{x}, \mathrm{y}) \) lies i...
If
If \( A=\{\mathrm{x}, \mathrm{y}, \mathrm{z}\} \), then the relation \( R=\{(\mathrm{x}, \mathrm...
If
If \( (\mathrm{x}, \mathrm{y}) \) be on the line joining the two points \( \mathrm{A}(1,-3) \) a...
If
If \( \mathrm{x} \) and \( \mathrm{y} \) are non zero rational unequal numbers, then \( \frac{(x...
If
Find \( X \) and \( Y \), if (i) \( \mathrm{X}+\mathrm{Y}=\left[\begin{array}{ll}7 & 0 \\ 2 ...
Find \(
If \( \mathrm{X} \) and \( \mathrm{Y} \) are \( 2 \times 2 \) matri...
If