A circle touches the x–axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is
Next 10 Questions — NIMCET 2023
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A computer producing factory has only two plants $T_1$ and $T_2$. Plant $T_1$ produces 20% and plant $T_2$ produces 80%…
Topic: NIMCET 2023
The mean of 5 observation is 5 and their variance is 12.4. If three of the observations are 1, 2 and 6; then the mean d…
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The perimeter of a $\Delta ABC$ is 6 times the arithmetic mean of the sines of its angles. If the side a is 1, then the…
Topic: NIMCET 2023
In an examination of nine papers, a candidate has to pass in more papers than the number of papers in which he fails in…
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For a group of 100 candidates, the mean and standard deviation of scores were found to be 40 and 15
respectively. Later…
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Consider the following frequency distribution table. Class interval 10-20 20-3030-40 40-50 &nb…
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The sum of infinite terms of decreasing GP is equal to the greatest value of the function $f(x) = x^3
+ 3x – 9$ in the…
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If $f(x)=\lim _{{x}\rightarrow0}\, \frac{{6}^x-{3}^x-{2}^x+1}{\log _e9(1-\cos x)}$ is a real number then $\lim _{{…
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The value of $\int ^{\pi/3}_{-\pi/3}\frac{x\sin x}{{\cos }^2x}dx$ is
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The equation of the tangent at any point of curve $x=a cos2t, y=2\sqrt{2} a sint$ with $m$ as its slope is
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