## Question

The value of λ for which the lines joining the point of intersection of curves *C*_{1} and *C*_{2} to the origin are equally inclined to the axis of *X*.

### Solution

The combined equation of the straight lines joining the origin to the points of intersection of *C*_{1} and *C*_{2} is a homogeneous equation and is given by

.

Lines given by this equation are equally inclined with *X*-axis.

∴ Sum of their slopes = 0

.

#### SIMILAR QUESTIONS

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