1
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a straight line passing through a fixed point $(a, b)$, where $\boldsymbol{a}, \boldsymbol{b}>\mathbf{0}$, makes positive intercepts OA and OB on the coordinate axes, then the least value of $\mathbf{O A}+\mathbf{O B}$ is:

A

$(\sqrt{a}+\sqrt{b})^2$

B

$(\sqrt{a}+\sqrt{b})^3$

C

$a+b$

D

$(\sqrt{a}-\sqrt{b})^2$

2
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

A
(2, 4)
B
$$ \left(\frac{22}{7}, \frac{43}{7}\right) $$
C

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

D

(6, 8)

3
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-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.
A
$\frac{5}{4}$
B
$\frac{5}{3}$
C
$\frac{4}{5}$
D
$\frac{3}{5}$
4
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-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
A
$-2$
B
$2$
C
$-\frac{3}{5}$
D
$\frac{1}{3}$

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