The vertices of a triangle are $$A\left( { - 1, - 7} \right)B\left( {5,\,1} \right)$$ and $$C\left( {1,\,4} \right).$$ The equation of the bisector of the angle $$\angle ABC$$ is ............... .
Answer
$$x - 7y + 2 = 0$$
2
IIT-JEE 1991
Fill in the Blanks
Let the algebraic sum of the perpendicular distances from the points $$\left( {2,0} \right),\,\left( {0,\,2} \right)$$ $$\left( {1,\,1} \right)$$ to a variable straight line be zero; then the line passes through a fixed point whose cordinates are ...............
Answer
$$\left( {1,\,1} \right)$$
3
IIT-JEE 1985
Fill in the Blanks
The orthocentre of the triangle formed by the lines $$x + y = 1,\,2x + 3y = 6$$ and $$4x - y + 4 = 0$$ lies in quadrant number .............
Answer
First
4
IIT-JEE 1984
Fill in the Blanks
If $$a,\,b$$ and $$c$$ are in A.P., then the straight line $$ax + by + c = 0$$ will always pass through a fixed point whose coordinates are ...............
Answer
$$\left( {1,\, - 2} \right)$$
Questions Asked from Straight Lines and Pair of Straight Lines
On those following papers in Fill in the Blanks
Number in Brackets after Paper Indicates No. of Questions