1

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

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

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
3

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

$$\left( {1,\, - 2} \right)$$
4

IIT-JEE 1983

Fill in the Blanks
Given the points $$A\left( {0,4} \right)$$ and $$B\left( {0, - 4} \right)$$, the equation of the locus of the point $$P\left( {x,y} \right)$$ such that $$\left| {AP - BP} \right| = 6$$ is .............

Answer

$${{{y^2}} \over 9} - {{{x^2}} \over 7} = 1$$

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