JEE Main 2016 (Online) 9th April Morning Slot | Straight Lines and Pair of Straight Lines Question 115 | Mathematics

The point (2, 1) is translated parallel to the line L : x− y = 4 by $$2\sqrt 3 $$ units. If the newpoint Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is :

x + y = 2 $$-$$ $$\sqrt 6 $$

x + y = 3 $$-$$ 3$$\sqrt 6 $$

x + y = 3 $$-$$ 2$$\sqrt 6 $$

2x + 2y = 1 $$-$$ $$\sqrt 6 $$

JEE Main 2016 (Offline)

MCQ (Single Correct Answer)

-1

Two sides of a rhombus are along the lines, $$x - y + 1 = 0$$ and $$7x - y - 5 = 0$$. If its diagonals intersect at $$(-1, -2)$$, then which one of the following is a vertex of this rhombus?

$$\left( {{{ 1} \over 3}, - {8 \over 3}} \right)$$

$$\left( - {{{ 10} \over 3}, - {7 \over 3}} \right)$$

$$\left( { - 3, - 9} \right)$$

$$\left( { - 3, - 8} \right)$$

JEE Main 2015 (Offline)

MCQ (Single Correct Answer)

-1

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices $$(0, 0)$$ $$(0, 41)$$ and $$(41, 0)$$ is :

820

780

901

861

JEE Main 2014 (Offline)

MCQ (Single Correct Answer)

-1

Let $$PS$$ be the median of the triangle with vertices $$P(2, 2)$$, $$Q(6, -1)$$ and $$R(7, 3)$$. The equation of the line passing through $$(1, -1)$$ band parallel to PS is :

$$4x + 7y + 3 = 0$$

$$2x - 9y - 11 = 0$$

$$4x - 7y - 11 = 0$$

$$2x + 9y + 7 = 0$$

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