Question
Evaluate the following limits:
$\lim _{x \rightarrow 0}\left[\frac{\sqrt{1+x^2}-\sqrt{1+x}}{\sqrt{1+x^3}-\sqrt{1+x}}\right]$
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Following data gives height in cms (X) and weight in kgs (Y) of 20 boys. Prepare a bivariate frequency table taking class intervals 150 – 154, 155 – 159,…etc. for X and 35 – 39, 40 – 44,…, etc for Y. Also, find
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(ii) Conditional frequency distribution of Y when 155 ≤ X ≤ 159.
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Solve the following equations for $x, y \in R$ : $\frac{x+i y}{2+3 i}=7- i$
→Solve the following linear equations by Cramer’s Rule.
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$
9 S_2^2=\mathrm{S}_3\left(1+8 \mathrm{~S}_1\right)
$
→$
9 S_2^2=\mathrm{S}_3\left(1+8 \mathrm{~S}_1\right)
$