1
IIT-JEE 1998
+2
-0.5
If $$\left( {P\left( {1,2} \right),\,Q\left( {4,6} \right),\,R\left( {5,7} \right)} \right)$$ and $$S\left( {a,b} \right)$$ are the vertices of a parrallelogram $$PQRS,$$ then
A
$$a = 2,\,b = 4$$
B
$$a = 3,\,b = 4$$
C
$$a = 2,\,b = 3$$
D
$$a = 3,\,b = 5$$
2
IIT-JEE 1995
+2
-0.5
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
$$\left( {{1 \over 4},\,{1 \over 4}} \right)$$
3
IIT-JEE 1994
+2
-0.5
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 1994
+2
-0.5
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
$$y - 4x = 13,\,y + 4x = 7$$
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