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If the line hx + ky = 1 touches `x^(2)+y^(2)=a^(2)`, then the locus of the point (h, k) is a circle of radiusA. aB. 1/aC. `sqrt(a)`D. `1//sqrt(a)` |
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Answer» Correct Answer - B It is given that the line `hx+ky=1` touches `x^(2)+y^(2)=a^(2)`. `:. |(-1)/(sqrt(h^(2)+k^(2)))|=a rArr h^(2)+k^(2)=(1)/(a^(2))` Hence, the locus of (h, k) is `x^(2)+y^(2)=1//a^(2)`, which is a circle of radius 1/a. |
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