JEE Main 2013 (Offline) | Straight Lines and Pair of Straight Lines Question 92 | Mathematics

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

A ray of light along $$x + \sqrt 3 y = \sqrt 3 $$ gets reflected upon reaching $$X$$-axis, the equation of the reflected ray is

$$y = x + \sqrt 3 $$

$$\sqrt 3 y = x - \sqrt 3 $$

$$y = \sqrt 3 x - \sqrt 3 $$

$$\sqrt 3 y = x - 1$$

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

The $$x$$-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as $$(0, 1) (1, 1)$$ and $$(1, 0)$$ is :

$$2 + \sqrt 2 $$

$$2 - \sqrt 2 $$

$$1 + \sqrt 2 $$

$$1 - \sqrt 2 $$

AIEEE 2012

MCQ (Single Correct Answer)

-1

If the line $$2x + y = k$$ passes through the point which divides the line segment joining the points $$(1, 1)$$ and $$(2, 4)$$ in the ratio $$3 : 2$$, then $$k$$ equals :

$${{29 \over 5}}$$

$$5$$

$$6$$

$${{11 \over 5}}$$

AIEEE 2011

MCQ (Single Correct Answer)

-1

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.

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Statement-1 is true, Statement-2 is false.

Statement-1 is false, Statement-2 is true.

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

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