Question
If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that .
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Text solutionVerified
Solution: Here, and are the intercepts on the axes. So, equation of line will be,
Length of the perpendicular from origin this line
Here,
So,
Squaring both sides,
Length of the perpendicular from origin this line
Here,
So,
Squaring both sides,
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Question Text | If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that . |
Answer Type | Text solution:1 |
Upvotes | 150 |