1
KCET 2019
MCQ (Single Correct Answer)
+1
-0

Acute angel between the line $$\frac{(x-5)}{2}=\frac{y+1}{-1}=\frac{z+4}{1}$$ and the plane $$3 x-4 y-z+5=0$$ is

A
$$\cos ^{-1}\left(\frac{5}{2 \sqrt{3}}\right)$$
B
$$\cos ^{-1}\left(\frac{9}{\sqrt{364}}\right)$$
C
$$\sin ^{-1}\left(\frac{5}{2 \sqrt{13}}\right)$$
D
$$\sin ^{-1}\left(\frac{9}{\sqrt{364}}\right)$$
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The distance of the point $$(1,2,1)$$ from the line $$\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{2}$$ is.

A
$$\frac{\sqrt{5}}{3}$$
B
$$\frac{2 \sqrt{3}}{5}$$
C
$$\frac{20}{3}$$
D
$$\frac{2 \sqrt{5}}{3}$$
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

$$X Y$$ plane divides the line joining the points $$A(2,3,-5)$$ and $$B(-1,-2,-3)$$ in the ratio

A
$$5: 3$$ internally
B
$$2: 1$$ internally
C
$$5: 3$$ externally
D
$$3: 2$$ externally
4
KCET 2018
MCQ (Single Correct Answer)
+1
-0
The image of the point $(1,6,3)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ is
A
$(1,0,7)$
B
$(7,0,1)$
C
$(2,7,0)$
D
$(-1,-6,-3)$
KCET Subjects
EXAM MAP