1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Distance of the point $(-2,3)$ from the line $12 x-5 y-2=0$ is $\frac{41}{k}$. Then the value of $k$ is
A
$\sqrt{134}$
B
$\sqrt{13}$
C
13
D
1
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If two vertices of a triangle are $(3,-2)$ and $(-2,3)$ and its orthocentre is $(-6,1)$. Then the difference between ordinate and abscissa of the third vertex of the triangle is
A
2
B
5
C
$-$5
D
7
3
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The area of the triangle whose vertices are $$(-2, a)(2,-6)$$ and $$(5,4)$$ is 35 sq units then the value of '$$\mathrm{a}$$' is

A
4
B
$$\frac{53}{3}$$
C
$$-\frac{23}{3}$$
D
$$\frac{128}{3}$$
4
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The line joining two points $$A(2,0) B(3,1)$$ is rotated about $$A$$ in anticlockwise direction through an angle of $$15^{\circ}$$. If $$B$$ goes to $$C$$ in the new position, then the coordinates of $$C$$ is

A
$$ \left(2+\frac{1}{\sqrt{3}}, \sqrt{\frac{3}{2}}\right) $$
B
$$ \left(2, \sqrt{\frac{3}{2}}\right) $$
C
$$ \left(2+\frac{1}{\sqrt{3}}, 1\right) $$
D
$$ \left(2+\frac{1}{\sqrt{2}}, \sqrt{\frac{3}{2}}\right) $$
COMEDK Subjects
EXAM MAP