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Model Paper 8 — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSModel Paper 81 Mark
Question
The value of p and q for which the function $f ( x )=\left\{\begin{array}{cl}\frac{\sin (p+1) x+\sin x}{x} & , x<0 \\ \frac{q}{x^2} & , x=0 \\ \frac{\sqrt{x+b x^2}-\sqrt{x}}{x^{\frac{3}{2}}} & , x>0\end{array}\right.$ is continuous for all $x \in R$, are
✓

Answer

(a) $p =-\frac{3}{2}, q =\frac{1}{2}$
Explanation:  $p =-\frac{3}{2}, q =\frac{1}{2}$

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