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Two consecutive sides of a parallelogram are $4x+5y=0$ and $7x+2y=0.$ If the equation to one diagonal is $11x+7y=9,$ then the equation of the other diagonal is
One diagonal of a square is along the line $8x-15y=0$ and one of its vertex is (1, 2). Then the equation of the sides of the square passing through this vertex, are
The opposite vertices of a square are (1, 2) and (3, 8), then the equation of a diagonal of the square passing through the point (1, 2), is
The ends of the base of an isosceles triangle are at $(2a,\ 0)$ and $(0,\ a).$ The equation of one side is $(lx+my)(a+b)=(l+m)\ ab$ The equation of the other side is
The equation of the lines on which the perpendiculars from the origin make ${{30}^{o}}$ angle with x–axis and which form a triangle of area $\frac{50}{\sqrt{3}}$ with axes, are
The base BC of a triangle ABC is bisected at the point (p, q) and the equations to the sides AB and AC are respectively $x+y+3=0$ and $qx+py=1.$ Then the equation to the median through A is
The equation of the line which makes right angled triangle with axes whose area is 6 sq. units and whose hypotenuse is of 5 units, is
A(–1, 1), B(5, 3) are opposite vertices of a square in xy-plane. The equation of the other diagonal (not passing through (A, B) of the square is given by
In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are respectively (1, 2) and (2, 1). If the equation of the line AB is $y=2x$ , then the equation of the line AC is
Equations of diagonals of square formed by lines $x=0,$ $y=0,$ $x=1$ and $y=1$ are

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