1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The value of $\lambda$ for which the angle between lines $\vec{r}=\hat{\imath}+\hat{\jmath}+\hat{k}+p(2 \hat{\imath}+\hat{\jmath}+2 \hat{k})$ and $\vec{r}=(1+q) \hat{\imath}+(1+q \lambda) \hat{\jmath}+(1+q) \hat{k}$ is $\frac{\pi}{2}$
A
$-$4
B
2
C
$-$2
D
4
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The value of $\frac{1}{2 \sin 10^{\circ}}-2 \sin 70^{\circ}$ is
A
0
B
2
C
$-\frac{3}{2}$
D
1
3
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
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The area bounded by the parabola $y^2=36 x$ and its latus rectum is
A
216 sq units
B
108 sq units
C
27 sq units
D
54 sq units
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