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(i) A line OP through origin O is inclin...

(i) A line OP through origin O is inclined at `60^(@) and 30^(@)` to OY and OZ respectively . Find the angle at which it is inclined to OX (ii) What are the direction cosines of a line which of a line which is equally inclined to the axes ?

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To solve the given question, we will break it down into two parts as stated. ### Part (i): Finding the angle at which the line OP is inclined to OX 1. **Understanding the Problem**: We have a line OP that passes through the origin O and is inclined at angles of 60° to the OY axis and 30° to the OZ axis. We need to find the angle (let's call it α) that OP makes with the OX axis. 2. **Using Direction Cosines**: The direction cosines of a line are given by: - cos(α) = cos angle with OX ...
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Knowledge Check

  • The number of straight lines which are equally inclined to both the axes is

    A
    4
    B
    3
    C
    2
    D
    1
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