81 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
M.C.Q (1 Marks)
23 Q→02Fill In The Blanks[1 Marks ]
4 Q→032 Marks Questions
13 Q→043 Marks Question
26 Q→055 Marks Questions
15 Q→One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If $\text{y}=\frac{1+\frac{1}{\text{x}^{2}}}{1-\frac{1}{\text{x}^{2}}}$ then $\frac{\text{dy}}{\text{dx}}$ is equal to:
$\frac{-4\text{x}}{(\text{x}^{2}-1)^{2}}$
$\frac{-4\text{x}}{(\text{x}^{2}-1)^{2}}$
$\frac{1-\text{x}^{2}}{4\text{x}}$
$\frac{4\text{x}}{\text{x}^{2}-1}$
If $\text{y}=\frac{\sin(\text{x}+9)}{\cos\text{x}}$ then $\frac{\text{dy}}{\text{dx}}$ at x = 0 is equal to:
$\cos9$
$\sin9$
$0$
$1$
If $\text{f}(\text{x})=\sqrt{\text{x}}+\frac{1}{\sqrt{\text{x}}}$ then $\frac{\text{dy}}{\text{dx}}$ at x = 1 is equal to:
$1$
$\frac{1}{2}$
$\frac{1}{\sqrt{2}}$
$0$
If $\text{f}(\text{x})=1+\text{x}+\frac{\text{x}^{2}}{2}+.....+\frac{\text{x}^{100}}{100}$ then f'(1) is equal to:
$\frac{1}{100}$
$100$
does not exist
$0$
If $\text{f}(\text{x})=\frac{\text{x}-4}{2\sqrt{\text{x}}}$ then f'(1) is equal to:
$\frac{5}{4}$
$\frac{4}{5}$
$1$
$0$
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