1.
If the area of the triangle formed by the pair of lines given by and the line is 7, then
2.
The equation of the line which is such that the portion of line segment intercepted between the coordinate axes is bisected at is
3.
Let be the distance between lines and and be the distance between the lines and , then
4.
If the lines x^{2}+2xy-35y^{2}-4x+44y-12=0 and 5x + \lambda y-8=0 are concurrent, then the value of \lambda is
5.
The straight line and intersect at the point . On these lines the points and are chosen so that . The slopes of the lines passing through (1, 2) are
6.
The vertices of a triangle are and . The equation of the bisector of the angle is
7.
The position of reflection of the point (4, 1) about the line is
8.
A straight line through the point is such that its intercept between the axes is bisected at . Its equation is
9.
If is one vertex and is one diagonal of a square, then the equation of second diagonal is
10.
The pair of lines joining origin to the points of intersection of the two curves
ax^{2}+2hxy+by^{2}+2gx=0 and a^{'}x^{2}+2h^{'}xy+b^{'}y^{2}+2g^{'}x=0 will be at right angles, if