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
$$\left( {1,\, - 2} \right)$$
2
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
$${{{y^2}} \over 9} - {{{x^2}} \over 7} = 1$$
3
IIT-JEE 1982
Fill in the Blanks
The set of lines $$ax + by + c = 0,$$ where $$3a + 2b + 4c = 0$$ is concurrent at the point ..........
Answer
$$\left( {{3 \over 4},{1 \over 2}} \right)$$
4
IIT-JEE 1982
Fill in the Blanks
$$y = {10^x}$$ is the reflection of $${\log _{10}}\,x$$ in the line whose equation is ...........
Answer
$$y = x$$
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