1

AIEEE 2011

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

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 $$2\sqrt 2 :\sqrt 5 $$
**Statement-2:** In any triangle, bisector of an angle divide the triangle into two similar triangles.

2

AIEEE 2010

MCQ (Single Correct Answer)

+4

-1

The line $$L$$ given by $${x \over 5} + {y \over b} = 1$$ passes through the point $$\left( {13,32} \right)$$. The line K is parrallel to $$L$$ and has the equation $${x \over c} + {y \over 3} = 1.$$ Then the distance between $$L$$ and $$K$$ is :

3

AIEEE 2009

MCQ (Single Correct Answer)

+4

-1

The shortest distance between the line $$y - x = 1$$ and the curve $$x = {y^2}$$ is :

4

AIEEE 2009

MCQ (Single Correct Answer)

+4

-1

The lines $$p\left( {{p^2} + 1} \right)x - y + q = 0$$ and $$\left( {{p^2} + 1} \right){}^2x + \left( {{p^2} + 1} \right)y + 2q$$ $$=0$$ are perpendicular to a common line for :

Questions Asked from Straight Lines and Pair of Straight Lines (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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