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1

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

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

$$y = x$$

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