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The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively.
P(2, 0) and Q(0,(3/2)) are two points on the sides OA and OB respectively of ∆OAB, where O is the origin of the co-ordinate system. Given that AB = 10 cm, then PQ =
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- 20 cm
- 2.5 cm
- 40 cm
- 5 cm
- 20 cm
Correct Option: B
OP = 2
| OQ = | |
| 2 |
∴ PQ = √OP² + OQ²
| = √ 2² + |  |  | ² | |
| 2 |
| = √ 4 + | ||
| 4 |
| = √ | = √ | ||
| 4 | 4 |
| = | = 2.5 cm | |
| 2 |
