COMEDK 2026 Morning Shift | Straight Lines and Pair of Straight Lines Question 7 | Mathematics

$$ \begin{aligned} &\text { Find the co-ordinates of the orthocentre of the triangle formed by the lines }\\ &\begin{aligned} & L_1: y-x=2 \\ & L_2: y+2 x=8 \\ & L_3: 3 y-x=18 \end{aligned} \end{aligned} $$

(2, 4)

$$ \left(\frac{22}{7}, \frac{43}{7}\right) $$

$$ \left(\frac{10}{7}, \frac{40}{7}\right) $$

(6, 8)

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

The angle between two lines is $45^{\circ}$ and slope of one line is $\frac{1}{4}$ then which is the possible value of the slope of the other line.

$\frac{5}{4}$

$\frac{5}{3}$

$\frac{4}{5}$

$\frac{3}{5}$

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

If the line $(3 x+14 y+7)+k(5 x+7 y+6)=0$ is perpendicular to $x$-axis then the value of ' $k$ ' is

$-2$

$2$

$-\frac{3}{5}$

$\frac{1}{3}$

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

A straight line makes positive intercepts on the coordinate axes whose sum is 5 . If the line passes through the point $P(-3,4)$ then the equation of a line is

$2 x-y+10=0$

$2 x+3 y=6$

$3 x+2 y=6$

$x+4 y=13$

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