1
IIT-JEE 2007
+3
-0.75
The lines $${L_1}:y - x = 0$$ and $${L_2}:2x + y = 0$$ intersect the line $${L_3}:y + 2 = 0$$ at $$P$$ and $$Q$$ respectively. The bisector of the acute angle between $${L_1}$$ and $${L_2}$$ intersects $${L_3}$$ at $$R$$.

Statement-1: The ratio $$PR$$ : $$RQ$$ equals $$2\sqrt 2 :\sqrt 5$$. because
Statement-2: In any triangle, bisector of an angle divides the triangle into two similar triangles.

A
Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement- 1
B
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.
2
IIT-JEE 2004 Screening
+3
-0.75
Area of the triangle formed by the line $$x + y = 3$$ and angle bisectors of the pair of straight line $${x^2} - {y^2} + 2y = 1$$ is
A
2 sq. units
B
4 sq. units
C
6 sq. units
D
8 sq. units
3
IIT-JEE 2003 Screening
+3
-0.75
The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices $$\left( {0,0} \right),\left( {0,21} \right)$$ and $$\left( {21,0} \right)$$, is
A
133
B
190
C
233
D
105
4
IIT-JEE 2003 Screening
+3
-0.75
Orthocentre of triangle with vertices $$\left( {0,0} \right),\left( {3,4} \right)$$ and $$\left( {4,0} \right)$$ is
A
$$\,\,\left( {3,{5 \over 4}} \right)$$
B
$$\left( {3,12} \right)$$
C
$$\left( {3,{3 \over 4}} \right)$$
D
$$\left( {3,9} \right)$$
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