1
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The angle between the lines whose direction cosines are $$\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{\sqrt{3}}{2}\right)$$ and $$\left(\frac{\sqrt{3}}{4}, \frac{1}{4}, \frac{-\sqrt{3}}{2}\right)$$

A
$$\pi$$
B
$$\frac{\pi}{2}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{\pi}{4}$$
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If a plane meets the coordinate axes at $$A, B$$ and $$C$$ in such a way that the centroid of $$\triangle A B C$$ is at the point $$(1,2,3)$$, then the equation of the plane is

A
$$\frac{x}{1}+\frac{y}{2}+\frac{z}{3}=1$$
B
$$\frac{x}{3}+\frac{y}{6}+\frac{z}{9}=1$$
C
$$\frac{x}{1}+\frac{y}{2}+\frac{z}{3}=\frac{1}{3}$$
D
$$\frac{x}{1}-\frac{y}{2}+\frac{z}{3}=-1$$
3
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The area of the quadrilateral $$A B C D$$ when $$A(0,4,1), B(2,3,-1), C(4,5,0)$$ and $$D(2,6,2)$$ is equal to

A
9 sq units
B
18 sq units
C
27 sq units
D
81 sq units
4
KCET 2021
MCQ (Single Correct Answer)
+1
-0

The mid points of the sides of triangle are $$(1,5,-1)(0,4,-2)$$ and $$(2,3,4)$$ then centroid of the triangle

A
$$(1,4,3)$$
B
$$\left(1,4, \frac{1}{3}\right)$$
C
$$(-1,4,3)$$
D
$$\left(\frac{1}{3}, 2,4\right)$$
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