Question
Download Solution PDFThe number of tangents that can be drawn from (2, 6) to x2 + y2 = 40 is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If the point lies inside the circle no tangent can be drawn.
If the point lies on the circle then only one tangent can be drawn
If the point lies outside the circle then a maximum of two tangent lines can be drawn on the circle
Calculation:
Given point (2, 6) and equation of circle is x2 + y2 = 40
Now, x2 + y2 - 40 = 0
Put (2, 6) in this equation, we get
22 + 62 – 40 = 4 + 36 – 40 = 40 – 40 = 0
So, the point (2, 6) lies on the circle.
Hence, only one tangent can be drawn.
Last updated on Jun 11, 2025
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