1. Which of the following is the value of limx→0sin2x∘x \lim _{x \rightarrow 0} \frac{\sin 2 x^{\circ}}{x} limx→0xsin2x∘ ?
π180 \frac{\pi}{180} 180π
π90 \frac{\pi}{90} 90π
π2 \frac{\pi}{2} 2π
90π \frac{90}{\pi} π90
2. Which of the following is the function of the above graph?
y=x2 y=x^{2} y=x2
y=x2−3 y=x^{2}-3 y=x2−3
y=−2x2 y=-2 x^{2} y=−2x2
x=y2 x=y^{2} x=y2
3. If P→=3i^+2j^−2k^ \overrightarrow{\mathbf{P}}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathbf{k}} P=3i^+2j^−2k^ and Q→=−i^+j^−6k^ \overrightarrow{\mathbf{Q}}=-\hat{\mathbf{i}}+\hat{\mathbf{j}}-6 \hat{\mathbf{k}} Q=−i^+j^−6k^ Which of the following is the resultant of P→ \overrightarrow{\mathbf{P}} P & Q→ \overrightarrow{\mathbf{Q}} Q ?
−2i^+3j^+4k^ -2 \hat{i}+3 \hat{j}+4 \hat{k} −2i^+3j^+4k^
2i^+3j^−8k^ 2 \hat{i}+3 \hat{j}-8 \hat{k} 2i^+3j^−8k^
4i^+j^+4k^ 4 \hat{i}+\hat{j}+4 \hat{k} 4i^+j^+4k^
4i^+j^−4k^ 4 \hat{i}+\hat{j}-4 \hat{k} 4i^+j^−4k^
4. If A+B+C=3π2 A+B+C=\frac{3 \pi}{2} A+B+C=23π the cosec(B+C)bc \operatorname{cosec}(B+C) b c cosec(B+C)bc
−secA -\sec \mathrm{A} −secA
secA \sec A secA
−cosecA -\operatorname{cosec} A −cosecA
cosecA \operatorname{cosec} \mathrm{A} cosecA
5. Which of the following is the value of ∫01e−xdx? \int_{0}^{1} e^{-x} d x ? ∫01e−xdx?
1e−1 \frac{1}{\mathrm{e}}-1 e1−1
−1e−1 -\frac{1}{\mathrm{e}}-1 −e1−1
−1e -\frac{1}{\mathrm{e}} −e1
−1e+1 -\frac{1}{e}+1 −e1+1