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1

IIT-JEE 1995

MCQ (Single Correct Answer)
The orthocentre of the triangle formed by the lines $$xy=0$$ and $$x+y=1$$ is
A
$$\left( {{1 \over 2},\,{1 \over 2}} \right)$$
B
$$\left( {{1 \over 3},\,{1 \over 3}} \right)$$
C
$$\left( {0,\,0} \right)$$
D
$$\left( {{1 \over 4},\,{1 \over 4}} \right)$$
2

IIT-JEE 1994

MCQ (Single Correct Answer)
The equations to a pair of opposites sides of parallelogram are $${x^2} - 5x + 6 = 0$$ and $${y^2} - 6y + 5 = 0,$$ the equations to its diagonals are
A
$$x + 4y = 13,\,y = 4x - 7$$
B
$$4x + y = 13,\,4y = x - 7$$
C
$$4x + y = 13,\,y = 4x - 7$$
D
$$y - 4x = 13,\,y + 4x = 7$$
3

IIT-JEE 1994

MCQ (Single Correct Answer)
The locus of a variable point whose distance from $$\left( { - 2,\,0} \right)$$ is $$2/3$$ times its distance from the line $$x = - {9 \over 2}$$ is
A
ellipse -
B
parabola
C
hyperbola
D
none of these
4

IIT-JEE 1992

MCQ (Single Correct Answer)
If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is
A
square
B
circle
C
straight line
D
two intersecting lines

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