1
AIEEE 2007
+4
-1
Let A $$\left( {h,k} \right)$$, B$$\left( {1,1} \right)$$ and C $$(2, 1)$$ be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is $$1$$ square unit, then the set of values which $$'k'$$ can take is given by
A
$$\left\{ { - 1,3} \right\}$$
B
$$\left\{ { - 3, - 2} \right\}$$
C
$$\left\{ { 1,3} \right\}$$
D
$$\left\{ {0,2} \right\}$$
2
AIEEE 2007
+4
-1
If one of the lines of $$m{y^2} + \left( {1 - {m^2}} \right)xy - m{x^2} = 0$$ is a bisector of angle between the lines $$xy = 0,$$ then $$m$$ is
A
$$1$$
B
$$2$$
C
$$-1/2$$
D
$$-2$$
3
AIEEE 2006
+4
-1
A straight line through the point $$A (3, 4)$$ is such that its intercept between the axes is bisected at $$A$$. Its equation is
A
$$x + y = 7$$
B
$$3x - 4y + 7 = 0$$
C
$$4x + 3y = 24$$
D
$$3x + 4y = 25$$
4
AIEEE 2006
+4
-1
If $$\left( {a,{a^2}} \right)$$ falls inside the angle made by the lines $$y = {x \over 2},$$ $$x > 0$$ and $$y = 3x,$$ $$x > 0,$$ then a belong to
A
$$\left( {0,{1 \over 2}} \right)$$
B
$$\left( {3,\infty } \right)$$
C
$$\left( {{1 \over 2},3} \right)$$
D
$$\left( {-3,-{1 \over 2}} \right)$$
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