JEE Main 2019 (Online) 9th January Evening Slot | Straight Lines and Pair of Straight Lines Question 100 | Mathematics

Let the equations of two sides of a triangle be 3x $$-$$ 2y + 6 = 0 and 4x + 5y $$-$$ 20 = 0. If the orthocentre of this triangle is at (1, 1), then the equation of its third side is :

122y $$-$$ 26x $$-$$ 1675 = 0

122y + 26x + 1675 = 0

26x + 61y + 1675 = 0

26x $$-$$ 122y $$-$$ 1675 = 0

JEE Main 2019 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

Out of Syllabus

Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true?

The lines are not concurrent

The lines are concurrent at the point $$\left( {{3 \over 4},{1 \over 2}} \right)$$

The lines are all parallel

Each line passes through the origin

JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

-1

A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is :

3x + 2y = 6xy

3x + 2y = 6

2x + 3y = xy

3x + 2y = xy

JEE Main 2018 (Online) 15th April Evening Slot

MCQ (Single Correct Answer)

-1

The sides of a rhombus ABCD are parallel to the lines, x $$-$$ y + 2 = 0 and 7x $$-$$ y + 3 = 0. If the diagonals of the rhombus intersect P(1, 2) and the vertex A (different from the origin) is on the y-axis, then the coordinate of A is :

$${5 \over 2}$$

$${7 \over 4}$$

$${7 \over 2}$$

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