## Question

If the area of the rhombus enclosed by the lines be 2 square units, then

### Solution

*l*, n, m are in G.P.

By solving the sides of the rhombus, its vertices are:

#### SIMILAR QUESTIONS

Two of the lines represented by *x*^{3} – 6*x*^{2}*y* + 3*xy*^{2} + *dy*^{3} = 0 are perpendicular for

If pairs of lines 3*x*^{2} – 2pxy – 3*y*^{2} = 0 and 5*x*^{2} – 2*qxy* – 5*y*^{2} = 0 are such that each pair bisects the angle between the other pair, then *pq* is equal to

The line *x* + *y* = 1 meets the line represented by the equation *y*^{3} –*xy*^{2} – 14*x*^{2}*y* + 24*x*^{3} = 0 at the points *A*, *B*, *C*. If *O* is the origin, then

*OA*^{2} + *OB*^{2} + *OC*^{2} is equal to

If the area of the triangle formed by the pair of lines 8*x*^{2} – 6*xy* + *y*^{2} = 0 and the line 2*x* + 3*y* = *a* is 7, then *a* is equal to

If *p* is length of the perpendicular from the origin on the line are in A.P. then *ab* is equal to

If two of the lines given by the equation *ax*^{3} – 9*yx*^{2} – *y*^{2}*x* + 4*y*^{3} = 0 are perpendicular then *a* is equal to

The number of straight lines equidistant from three non-collinear points in the plane of the points is equal to

A line bisecting the ordinate PN of a point P(at^{2}, 2at), t > 0 on the parabola y2 = 4ax, a > 0 is drawn parallel to the axis to meet the curve at Q. If NQ and the tangent at the point P meet at, T, then the coordinates of point T is (where point N lie on the axis)

If the pair of line intersect on x-axis, then α is equal to –

If a^{2} + b^{2} – c^{2} – 2ab = 0 then the point of concurrency of family of straight lines ax + by + c = 0lies on the line –