Questions
A line L has intercepts a and b on the coordinate axes. When the axes are rotated through an angle, keeping the origin fixed, the same line L has intercepts p and q. Then,
detailed solution
Correct option is A
Since the line L has intercepts a and b on the coordinateaxes, therefore its equation isxa+yb=1 (1)When the axes are rotated, its equation with respect tothe new axes and same origin will becomexp+yq=1 (2)In both the cases, the length of the perpendicular from the origin to the line will be same.∴11a2+1b2=11p2+1q2or 1a2+1b2=1p2+1q2which is the required relation.Talk to our academic expert!
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The equation of the straight line which passes through the point such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is
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