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1

### IIT-JEE 1993

Fill in the Blanks
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

$$\left( {1,\, - 2} \right)$$

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