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10. If the intercept of a line between the coordinate axes is divided by the point (–5, 4) in the ratio 1 : 2, then find the equation of the line.

10. If the intercept of a line between the coordinate axes is divided by the point (–5, 4) in the ratio 1 : 2, then find the
equation of the line.

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
7 years ago
Use the section formula. Equate the coordinates of the point dividing the line having intercepts on the axes using the section formula. The 2 points at the end of the line joined by the intercepts will be of the form (x,0) on the x axis and on the y axis (0,y’). So, the equation will give the value of the coordinates x’ and y’. As you have 3 points now through which the line the pases through, use either slope intercept form, or 2 point form to form the eqn of the line.

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