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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 1/p^2=1/a^2+1/b^2 Exercise 10.3 straight lines chapter plus one state syllabus text |
It is known that the equation of a line whose intercepts on the axes are a and b is The perpendicular distance (d) of a line Ax + By + C = 0 from a point (x 1, y 1) is given by On comparing equation (1) to the general equation of line Ax + By + C = 0, we obtain A = b, B = a, and C = –ab. On squaring both sides, we obtain Hence, we showed that
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