MCQ
The relation between a, b, a’ and b’ such that the two lines ax + by = c and a’x + b’y = c’ are perpendicular is:
- Aaa¢ – bb¢ = 0
- Baa¢ + bb¢ = 0
- Cab + a¢b¢ = 0
- Dab - a¢b¢ = 0
The relation between a, b, a’ and b’ such that the two lines ax + by = c and a’x + b’y = c’ are perpendicular is:
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The coefficient of x4 in $\Big(\frac{\text{x}}{2}-\frac{3}{\text{x}^{2}}\Big)$ is:
$\frac{405}{256}$
$\frac{504}{259}$
$\frac{450}{263}$
None of these.
The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is.
If 4-digit numbers greater than 5000 are randomly formed from the digits 0, 1, 3, 5 and 7, then the probability of forming a number divisible by 5 when the digits are repeated is:
$\lim\limits_{\text{x} \rightarrow0}\frac{1-\cos4\theta}{1-\cos6\theta}$ is equal to:
$\frac{4}{9}$
$\frac{1}{2}$
$\frac{-1}{2}$
$-1$