MCQ
In a three dimensional space the equation x2 - 5x + 6 = 0 represents
- APoints.
- BPlanes.
- CCurves.
- DPair of straight lines.
Solution:
Since, there is only one variable in the given equation.
Also, it is quadratic equation.
Hence, It represents curves in yz plane.
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The coefficient of x8 y10 in the expansion of $\text{(x + y)}^{18}$ is:
${^\text{18}}\text{C}_{\text{8}}$
${^\text{18}}\text{p}_{\text{10}}$
$2^{18}$
None of these.
If $\cos\text{x}=\frac{1}{2}\Big(\text{a}+\frac{1}{\text{a}}\Big),$ and $3\text{x}=\lambda\Big(\text{a}^3+\frac{1}{\text{a}^3}\Big),$ then $\lambda=$