1
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The slope of lines which makes an angle $$60^{\circ}$$ with the line $$y-3 x+18=0$$

A
$$\frac{3 \sqrt{3}-3}{1+3 \sqrt{3}}, \frac{3 \sqrt{3}-3}{1+3 \sqrt{3}}$$
B
$$\frac{3-\sqrt{3}}{1+3 \sqrt{3}}, \frac{3+\sqrt{3}}{1-3 \sqrt{3}}$$
C
$$\frac{3}{1+\sqrt{3}}, \frac{3}{1-\sqrt{3}}$$
D
$$\frac{\sqrt{3}-1}{3}, \frac{\sqrt{3}+1}{3}$$
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

3 and 5 are intercepts of a line $$L=0$$, then the distance of $$L=0$$ from $$(3,7)$$ is

A
$$\sqrt{31}$$
B
$$\sqrt{34}$$
C
$$\frac{21}{\sqrt{34}}$$
D
$$\frac{\sqrt{34}}{31}$$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The ratio in which the line $$3 x+4 y+2=0$$ divides the distance between the lines $$3 x+4 y+5=0$$ and $$3 x+4 y-5=0$$ is

A
3 : 7
B
2 : 3
C
1 : 2
D
2 : 5
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

In a $$\triangle A B C$$, if coordinates of point $$A$$ is $$(1,2)$$ and equation of the medians through $$B$$ and $$C$$ are $$x+y=5$$ and $$x=4$$ respectively, then the coordinates of $$B$$ is

A
(4, 1)
B
$$ (7,-2) $$
C
$$ (1,4) $$
D
$$ (-2,7) $$
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