MCQOPTIONS
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MCQOPTIONS
This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If a line makes an angle of 60°, 150°, 45° with the positive x, y, z-axis respectively, find its direction cosines. |
| A. | –\(\frac{1}{2},-\frac{\sqrt{3}}{2},\frac{1}{\sqrt{2}}\) |
| B. | –\(\frac{1}{2},-\frac{\sqrt{3}}{2},-\frac{1}{\sqrt{2}}\) |
| C. | \(\frac{1}{2},-\frac{\sqrt{3}}{2},\frac{1}{\sqrt{2}}\) |
| D. | \(\frac{1}{2},\frac{\sqrt{3}}{2},-\frac{1}{\sqrt{2}}\) |
| Answer» D. \(\frac{1}{2},\frac{\sqrt{3}}{2},-\frac{1}{\sqrt{2}}\) | |
| 2. |
If the direction cosines of the line are \(\frac{1}{2},-\frac{\sqrt{3}}{2}\),x respectively, then find the value of x. |
| A. | 1 |
| B. | 0 |
| C. | \(\frac{\sqrt{3}}{2}\) |
| D. | \(\frac{1}{2}\) |
| Answer» C. \(\frac{\sqrt{3}}{2}\) | |
| 3. |
The direction ratios of the line segment joining \(P(x_1,y_1,z_1)\) and \(Q(x_2,y_2,z_2)\) is given by _______, ____________ and __________ |
| A. | \(x_2+x_1,y_2+y_1,z_2+z_1\) |
| B. | \(x_2-x_1,y_2+y_1,z_2-z_1\) |
| C. | \(x_2-x_1,y_2-y_1,z_2-z_1\) |
| D. | \(x_2+x_1,y_2-y_1,z_2+z_1\) |
| Answer» D. \(x_2+x_1,y_2-y_1,z_2+z_1\) | |
| 4. |
If a line makes an angle of 120°, 45°, 30° with the positive x, y, z-axis respectively then find the direction cosines. |
| A. | l=\(\frac{1}{2}, \,m=\frac{1}{\sqrt{2}}, \,n=\frac{\sqrt{3}}{2}\) |
| B. | l=-\(\frac{1}{2}, \,m=-\frac{1}{\sqrt{2}}, \,n=-\frac{\sqrt{3}}{2}\) |
| C. | l=-\(\frac{1}{2}, \,m=\frac{1}{\sqrt{2}}, \,n=\frac{\sqrt{3}}{2}\) |
| D. | l=\(0, \,m=\frac{1}{\sqrt{2}}, \,n=\frac{\sqrt{3}}{2}\) |
| Answer» D. l=\(0, \,m=\frac{1}{\sqrt{2}}, \,n=\frac{\sqrt{3}}{2}\) | |