MCQ
The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4) in the ratio $\lambda:1$ then $\lambda$ is:
- A-3
- B$\frac{-1}{3}$
- C3
- D$\frac{1}{3}$
Solution:
The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4) in the ratio $\lambda:1$ i.e. y = 0 divide the join of (1, -1, 5) and (2, 3, 4) in the ratio.
$\lambda:1\therefore\frac{3\lambda−1}{\lambda+1}=0$
$\Rightarrow\lambda=\frac{1}{3}$
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Which of the following is not a statement.
$\lim\limits_{\text{x} \rightarrow \pi}\frac{\text{x}^{2}\cos\text{x}}{1-\cos\text{x}}$ is equal to:
$2$
$\frac{3}{2}$
$-\frac{3}{2}$
$1$